# Free 4th Grade Fractions Worksheet | Printable Worksheet on Fractions with Answers

Fractions Worksheet includes a variety of exercises that provides you with a complete overview of fractions. Printable Worksheets on Fractions have questions on comparing fractions, adding and subtracting fractions, converting mixed numbers to improper Fractions, and vice versa. Fourth Grade Math Worksheets on Fractions will give you a clear idea of the concepts that you can use in homework or assignments. Use endless quality printable worksheets on fractions that are free to download and score well in your exams.

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I. Write the fraction of vowels and consonants in the words given below
1. The fraction of vowels in the word EXAMINATION is _________.
2. The fraction of vowels in the word OBJECTS is _________.
3. The fraction of consonants in the word PAPER is _________.

Solution:

1.The fraction of vowels in the word EXAMINATION is $$\frac { 6 }{ 11 }$$
2. The fraction of vowels in the word OBJECTS is$$\frac {2 }{ 7 }$$
3.The fraction of consonants in the word PAPER is$$\frac {3 }{ 5 }$$

II. A basket contains 15 flowers, out of which 5 are white roses and 10 are Red roses. What fraction are the Red roses?_______.

Solution:

Given,
No. of flowers in the basket=15
No. of white roses=5
No. of red roses=10
The fraction of red roses is $$\frac { 10 }{ 15 }$$
=$$\frac { 2 }{ 3 }$$
Hence, No. of red roses in the basket is $$\frac { 2 }{ 3 }$$.

III.Write the next  fraction in the series
$$\frac { 1 }{ 3}$$, $$\frac { 2}{ 6}$$, $$\frac { 3 }{ 9}$$,_____

Solution:

In the given series of fractions, the second fraction is formed by multiplying with 2 and the third fraction is formed by multiplying with 3.
So next fraction is formed by multiplying with 4.
So the next fraction in the series is$$\frac { 4 }{ 12 }$$=$$\frac { 1 }{ 3 }$$

IV. Find the equivalent fractions
1.The equivalent of $$\frac { 4 }{ 9}$$  with denominator 27 is ______
2. The equivalent of $$\frac { 3 }{ 8}$$  with denominator 32 is ______

Solution:

1. An equivalent fraction is formed by multiplying the fraction with the same number.
To get the denominator 27 we have to multiply the fraction by 3.Therefore,the equivalent of$$\frac { 4 }{ 9}$$  with denominator 27 is $$\frac { 12 }{ 27 }$$.
2. An equivalent fraction is formed by multiplying the fraction with the same number.
To get the denominator 32 we have to multiply the fraction by 4.
Therefore,the equivalent of$$\frac { 3 }{ 8}$$  with denominator 32 is $$\frac { 12 }{ 32 }$$.

1. The smallest fraction among the given is __________
a) $$\frac { 7 }{ 8 }$$ b) $$\frac { 3 }{ 7 }$$ c) $$\frac { 4 }{ 5 }$$ d) $$\frac { 5 }{ 8 }$$
2. The largest fraction among the given is __________
a) $$\frac { 5 }{ 8 }$$ b) $$\frac { 7 }{ 9 }$$ C) $$\frac { 1 }{ 6}$$ d) $$\frac { 3 }{ 8 }$$

Solution:

1. The smallest fraction among the given is $$\frac { 3 }{ 7 }$$.
2.The largest fraction among the given is $$\frac { 7 }{ 9 }$$.

VI. Circle the Like Fractions
1. $$\frac { 4}{ 9 }$$,$$\frac { 2 }{ 9 }$$,$$\frac { 6 }{ 8 }$$
2. $$\frac { 2 }{ 5 }$$,$$\frac { 1 }{ 5 }$$,$$\frac { 3 }{ 8 }$$
3. $$\frac { 4}{ 6 }$$,$$\frac { 7 }{ 8 }$$,$$\frac { 5 }{ 6 }$$

Solution:

1. $$\frac { 4 }{ 9 }$$,$$\frac { 2 }{ 9 }$$
2. $$\frac { 2 }{ 5 }$$,$$\frac { 1 }{ 5 }$$
3. $$\frac { 4 }{ 6 }$$,$$\frac { 5}{ 6 }$$

VII. Arrange and write the following in descending order
1. $$\frac { 3 }{ 16 }$$, $$\frac { 5 }{ 16 }$$, $$\frac { 7 }{ 16}$$, $$\frac { 9 }{ 16 }$$
2. $$\frac { 1 }{ 19 }$$, $$\frac { 2 }{ 19 }$$, $$\frac { 3 }{ 19 }$$, $$\frac { 5 }{ 19 }$$
3.  $$\frac { 5 }{ 48 }$$, $$\frac { 7 }{ 49 }$$, $$\frac { 9 }{ 28 }$$, $$\frac { 10 }{ 38 }$$
4. $$\frac { 7 }{ 13 }$$, $$\frac { 5 }{ 12 }$$, $$\frac { 6 }{ 9 }$$, $$\frac { 8 }{ 11 }$$

Solution:

1. Since we have the like denominators we sort inputs by the numerators in order from the greatest to lowest.
Order from Greatest to Least are
$$\frac { 9 }{ 16 }$$ > $$\frac { 7 }{ 16 }$$ > $$\frac { 5 }{ 16}$$ >$$\frac { 3 }{ 16 }$$
2. Since we have the like denominators we sort inputs by the numerators in order from the greatest to lowest.
Order from Greatest to Least are
$$\frac { 5 }{ 19 }$$ > $$\frac { 3 }{ 19 }$$> $$\frac { 2 }{ 19}$$ > $$\frac { 1}{ 19 }$$
3. The LCD is 44688.
Rewriting as equivalent fractions with the LCD:
$$\frac { 5}{ 48}$$, $$\frac { 7 }{ 49 }$$, $$\frac { 9 }{ 28 }$$, $$\frac { 10 }{ 38 }$$
$$\frac { 4655 }{ 44688 }$$,$$\frac { 6384 }{ 44688 }$$,$$\frac { 14364 }{ 44688 }$$, $$\frac { 11760 }{ 44688 }$$
Sorting this by the numerators of the equivalent fractions in order from greatest to least:
$$\frac { 9 }{ 28 }$$ >$$\frac { 10 }{ 38 }$$  > $$\frac { 7 }{ 49 }$$> $$\frac { 5 }{ 48 }$$
Hence, the descending order is $$\frac { 9 }{ 28 }$$ > $$\frac { 10 }{ 38 }$$ > $$\frac { 7 }{ 49 }$$ > $$\frac { 5}{ 48 }$$.
4. The LCD is 5148.
Rewriting as equivalent fractions with the LCD:
$$\frac { 7 }{ 13 }$$, $$\frac { 5 }{ 12}$$ ,$$\frac { 6 }{ 9 }$$ ,$$\frac { 8 }{ 11 }$$
$$\frac { 2772 }{ 5148}$$, $$\frac { 2145 }{ 5148 }$$, $$\frac { 3432 }{ 5148 }$$, $$\frac { 3744 }{ 5148 }$$
Sorting this by the numerators of the equivalent fractions in order from greatest to least:
Therefore, the sorted inputs in order from greatest to least are:
$$\frac { 8 }{ 11 }$$> $$\frac { 6 }{ 9}$$> $$\frac { 7 }{ 13 }$$ > $$\frac { 5 }{ 12 }$$

VIII. Arrange and write the following in ascending order
1. $$\frac { 16 }{ 33 }$$, $$\frac { 18}{33 }$$, $$\frac { 19 }{ 33 }$$, $$\frac { 21 }{ 33 }$$
2. $$\frac { 10 }{ 21 }$$,$$\frac { 11 }{ 21 }$$ , $$\frac { 12 }{ 21 }$$, $$\frac { 14 }{ 21 }$$
3. $$\frac { 4 }{ 15 }$$, $$\frac { 1 }{ 11}$$, $$\frac { 6 }{ 13 }$$,$$\frac { 8 }{ 9 }$$
4. $$\frac { 3 }{ 17 }$$, $$\frac { 1}{ 15 }$$,$$\frac { 4 }{ 9 }$$ , $$\frac { 5 }{ 7 }$$

Solution:

1. Since we have like denominators we sort inputs by the numerators in order from least to greatest:
Therefore, the sorted inputs in order from least to greatest are:
$$\frac { 16 }{ 33 }$$ < $$\frac { 18}{ 33 }$$ < $$\frac { 19 }{ 33 }$$ <$$\frac { 21 }{ 33 }$$
2.Since we have like denominators we sort inputs by the numerators in order from least to greatest:
Therefore, the sorted inputs in order from least to greatest are:
$$\frac { 10 }{ 21}$$ < $$\frac { 11 }{ 21 }$$ < $$\frac { 12 }{ 21 }$$ <$$\frac { 14 }{ 21 }$$
3. The LCD is 6435.
Rewriting as equivalent fractions with the LCD:
$$\frac { 4 }{ 15}$$, $$\frac { 1 }{ 11}$$, $$\frac { 6 }{ 13}$$, $$\frac { 8}{ 9}$$
$$\frac { 1716 }{ 6435}$$,$$\frac { 585 }{ 6435}$$ , $$\frac { 2970 }{ 6435}$$, $$\frac { 5720 }{ 6435}$$
Sorting this by the numerators of the equivalent fractions in order from least to greatest:
$$\frac { 1 }{ 11}$$ < $$\frac { 4 }{ 15}$$ < $$\frac { 6 }{ 13}$$ <$$\frac { 8}{ 9}$$
4.The LCD is 5355.
Rewriting as equivalent fractions with the LCD:
$$\frac { 3 }{ 17}$$, $$\frac { 1 }{ 15}$$, $$\frac { 4}{9}$$, $$\frac { 5 }{ 7}$$
$$\frac { 945 }{ 5355}$$, $$\frac {357 }{ 5355}$$, $$\frac { 2380 }{ 5355}$$, $$\frac { 3825 }{ 5355}$$
Sorting this by the numerators of the equivalent fractions in order from least to greatest:
$$\frac { 1 }{ 15}$$ < $$\frac {3 }{ 17}$$ < $$\frac { 4 }{9}$$ < $$\frac { 5 }{ 7}$$

IX. Solve and write the answer
1. $$\frac { 3 }{ 11}$$ +$$\frac { 8}{ 11}$$ =________
2.$$\frac { 22 }{ 58}$$  + $$\frac { 15 }{ 18}$$=________
3. $$\frac { 35 }{ 38}$$ – $$\frac { 12 }{ 38}$$=_________
4. $$\frac { 13 }{ 18}$$ – $$\frac { 6 }{ 13}$$=__________

Solution:

1. The two fractions have like denominators so you can add the numerators. Then:
$$\frac { 3+8 }{ 11}$$
=$$\frac { 11 }{ 11}$$=1
Therefore, $$\frac { 3 }{ 11}$$+$$\frac { 8 }{ 11}$$=1
2. $$\frac { 22 }{ 58}$$ + $$\frac { 15}{ 18}$$
The fractions have, unlike denominators.
First, We have to find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD($$\frac { 22 }{ 58}$$, $$\frac { 15 }{ 18}$$) = 522
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.
($$\frac { 22 }{ 58}$$×$$\frac { 9 }{ 9}$$)+($$\frac { 15 }{ 18}$$×$$\frac { 29 }{ 29}$$)=?
Complete the multiplication and the equation becomes
$$\frac { 198 }{ 522}$$+$$\frac { 435 }{522}$$=?
The two fractions now have like denominators so you can add the numerators. Then:
$$\frac { 198+435 }{ 522}$$=$$\frac { 633 }{ 522}$$
3. $$\frac { 35 }{ 38}$$ – $$\frac { 12}{ 38}$$
The fractions have like denominators, So we can subtract the numerators.
$$\frac { 35-12 }{ 38}$$=$$\frac { 23 }{38}$$
4.The fractions have, unlike denominators.
First, we have to find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD($$\frac { 13 }{ 18}$$, $$\frac { 6 }{ 13}$$) = 234
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.
$$\frac { 13 }{ 18}$$ × $$\frac { 13 }{ 13}$$– $$\frac { 6 }{ 13}$$ × $$\frac { 18 }{ 18}$$=?
Complete the multiplication and the equation becomes
$$\frac { 169 }{ 234}$$ – $$\frac { 108 }{ 234}$$=?
The two fractions now have like denominators so you can subtract the numerators. Then:
$$\frac { 169-108 }{ 234}$$ =$$\frac { 61 }{ 234}$$

X. Fill in the blanks with correct sign >, < or =.
1. $$\frac { 2}{ 3 }$$ _____ $$\frac { 1}{ 3 }$$
2. $$\frac { 3}{ 5 }$$ ____ $$\frac { 4 }{ 5 }$$
3. $$\frac { 5}{ 8 }$$ ____ $$\frac { 7 }{ 8 }$$
4. $$\frac { 4 }{ 9 }$$___ $$\frac { 8 }{ 9}$$

Solution:

1. >
2. <
3. <
4. <

XI. One-half of the people in the town are girls, $$\frac { 4 }{ 5 }$$ of these girls are studying in other towns. What fraction of girls are studying in other towns?

Solution:

Given,Fraction of girls in the town = $$\frac { 1 }{ 2 }$$
Fraction of girls studying in other towns = $$\frac { 4 }{ 5 }$$ of $$\frac { 1 }{ 2 }$$
= $$\frac { 4 }{ 5 }$$ × $$\frac { 1 }{ 2}$$
= $$\frac { 4 × 1 }{ 5 × 2 }$$
=$$\frac { 4 }{ 10 }$$ =$$\frac { 2 }{ 5 }$$
Therefore, $$\frac { 2 }{ 5}$$ of girls studying in other towns.

XII. In an office, $$\frac { 2 }{ 5 }$$ of employees are women. What percentages are men?

Solution:

Given,
Fraction of women employees=$$\frac { 2 }{ 5 }$$
Fraction of men employees= 1-2/5
=$$\frac { 3 }{ 5 }$$
Now to know the percentage of men, we have to multiply with 100.
=$$\frac { 3 }{ 5 }$$ × 100
=60%
Hence, the percentage of men is 60%.

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