Worksheet on Simplification of Fractional Numbers is provided with the different types of problems. Follow the complete concept and learn more about the Simplification of Fractional Numbers topic. Here you can find, different methods to solve a given problem. We will provide answers and explanations for the simplification of the fractions problems provided. Test your knowledge using these problems and help your child practice converting fractions to the simplest form.
Read More: Simplification of Fractions
Problem 1:Â
Simplify \(\frac {9}{16} \) to its lowest terms.
Solution:
Now let’s see what are the factors of numerator 9 = 1, 3, 9
And factors of denominator 16 = 1, 2, 4, 8, 16
Now, we can see that 1 is the only common factor for 9 and 16
So given fractional number \(\frac {9}{16} \) can’t be simplified any further.
Therefore, \(\frac {9}{16} \) is in its simplest form.
Problem 2:
Simplify \(\frac {5}{9} \) to its lowest terms.
Solution:
Now let’s see what are the factors of numerator 5 = 1, 5
And factors of denominator 9 = 1, 3, 9
Now, we can see that 1 is the only common factor for 5 and 9
So given fractional number \(\frac {5}{9} \) can’t be simplified any further.
Therefore, \(\frac {5}{9} \) is in its simplest form.
Problem 3:
Simplify \(\frac {7}{19} \) to its lowest terms.
Solution:
Now let’s see what are the factors of numerator 7 = 1, 7
And factors of denominator 19 = 1, 19
Now, we can see that 1 is the only common factor for 7 and 19
So given fractional number \(\frac {7}{19} \) can’t be simplified any further.
Therefore, \(\frac {7}{19} \) is in its simplest form.
Problem 4:
Simplify \(\frac {2}{8} \) to its lowest terms.
Solution:
Now let’s see what are the factors of numerator 2 = 1, 2
And factors of denominator 8 = 1, 2, 4, 8
Now, we can see that 1 is not the only common factor for 2 and 8
So given fractional number \(\frac {2}{8} \) can be simplified as \(\frac {1}{4} \)
Therefore, the simplest form for \(\frac {2}{8} \) is \(\frac {1}{4} \).
Problem 5:
Simplify \(\frac {3}{15} \) to its lowest terms.
Solution:
Now let’s see what are the factors of numerator 3 = 1, 3
And factors of denominator 15 = 1, 3, 5, 15
Now, we can see that 1 is not the only common factor for 3 and 15
So given fractional number \(\frac {3}{15} \) can be simplified as \(\frac {1}{5} \)
Therefore, the simplest form for \(\frac {3}{15} \) is \(\frac {1}{5} \).
Problem 6:
Simplify \(\frac {2}{56} \) to its lowest terms.
Solution:
Now let’s see what are the factors of numerator 2 = 1, 2
And factors of denominator 56 = 1, 2, 4, 7, 8, 14, 28, 56
Now, we can see that 1 is not the only common factor for 2 and 56
So given fractional number \(\frac {2}{56} \) can be simplified as \(\frac {1}{28} \)
Therefore, the simplest form for \(\frac {2}{56} \) is \(\frac {1}{28} \).
Problem 7:
Simplify \(\frac {4}{54} \) to its lowest terms.
Solution:
Now let’s see what are the factors of numerator 4 = 1, 2, 4
And factors of denominator 54 = 1, 2, 3, 6, 9, 18, 27, 54
Now, we can see that 1 is not the only common factor for 4 and 54
So given fractional number \(\frac {4}{54} \) can be simplified as \(\frac {2}{27} \)
Factors of numerator 4 = 1, 2, 4
Factors of denominator 27 = 1, 3, 9, 27
1 is the only common factor for 4 and 27
Therefore, the simplest form for \(\frac {4}{54} \) is \(\frac {4}{27} \).
Problem 8:
Simplify \(\frac {6}{36} \) to its lowest terms.
Solution:
Now let’s see what are the factors of numerator 6 = 1, 2, 3, 6
And factors of denominator 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36
Now, we can see that 1 is not the only common factor for 6 and 36
So given fractional number \(\frac {6}{36} \) can be simplified as \(\frac {2}{12} \)
Factors of numerator 2 = 1, 2,
Factors of denominator 12 = 1, 2, 3, 6, 12
1 is not the only common factor for 2 and 12
So \(\frac {2}{12} \) can be simplified as \(\frac {1}{6} \)
Factors of numerator 1 = 1
Factors of denominator 6 = 1, 2, 3, 6
1 is the only common factor for 2 and 12
Therefore, the simplest form for \(\frac {6}{36} \) is \(\frac {2}{12} \).
Problem 9:
Simplify \(\frac {26}{42} \) to its lowest terms.
Solution:
Now let’s see what are the factors of numerator 26 = 1, 2, 13, 26
And factors of denominator 42 = 1, 2, 3, 6, 7, 14, 21, 42
Now, we can see that 1 is not the only common factor for 26 and 42
So given fractional number \(\frac {26}{42} \) can be simplified as \(\frac {13}{21} \)
Factors of numerator 13 = 1, 13
Factors of denominator 21 = 1, 3, 7, 21
1 is the only common factor for 13 and 21
Therefore, the simplest form for \(\frac {26}{42} \) is \(\frac {13}{21} \).
Problem 10:
Simplify \(\frac {58}{74} \) to its lowest terms.
Solution:
Now let’s see what are the factors of numerator 58 = 1, 2, 29, 58.
And factors of denominator 74 = 1, 2, 37, 74
Now, we can see that 1 is not the only common factor for 58 and 74
So given fractional number \(\frac {58}{74} \) can be simplified as \(\frac {29}{37} \)
Factors of numerator 29 = 1, 29
Factors of denominator 37 = 1, 37
1 is the only common factor for 29 and 21
Therefore, the simplest form for \(\frac {58}{74} \) is \(\frac {29}{37} \).
Problem 11:
Simplify \(\frac {82}{46} \) to its lowest terms.
Solution:Â
Now let’s see what are the factors of numerator 82 = 1, 2, 41, 82.
And factors of denominator 46 = 1, 2, 23, 46
Now, we can see that 1 is not the only common factor for 82 and 46
So given fractional number \(\frac {82}{46} \) can be simplified as \(\frac {41}{23} \)
Factors of numerator 41 = 1, 41
Factors of denominator 23 = 1, 23
1 is the only common factor for 41 and 23
Therefore, the simplest form for \(\frac {82}{46} \) is \(\frac {41}{23} \).
Problem 12:
Simplify \(\frac {96}{28} \) to its lowest terms.
Solution:
Now let’s see what are the factors of numerator 96 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.
And factors of denominator 28 = 1, 2, 4, 7, 14, 28
Now, we can see that 1 is not the only common factor for 96 and 28
So given fractional number \(\frac {82}{46} \) can be simplified as \(\frac {48}{14} \)
Factors of numerator 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of denominator 14 = 1, 2, 7, 14
1 is not the only common factor for 48 and 14
So \(\frac {48}{14} \) can be simplified as \(\frac {24}{7} \)
Factors of numerator 24 = 1, 2, 3, 4, 6, 12, 24
Factors of denominator 7 = 1, 7
1 is the only common factor for 24 and 7
Therefore, the simplest form for \(\frac {96}{28} \) is \(\frac {24}{7} \).