We included HMH Into Math Grade 4 Answer Key PDF Module 15 Add and Subtract Fractions and Mixed Numbers with Like Denominators to make students experts in learning maths.
HMH Into Math Grade 4 Module 15 Answer Key Add and Subtract Fractions and Mixed Numbers with Like Denominators
What is the Hidden Picture?
Follow the directions to reveal a picture. Some circles will be shaded more than once.
Answer:
Turn and Talk
How do the values of \(\frac{9}{9}\) and \(\frac{5}{5}\) compare?
Answer:
\(\frac{9}{9}\) x \(\frac{5}{5}\) = \(\frac{5}{5}\) x \(\frac{9}{9}\)
\(\frac{45}{45}\) = \(\frac{45}{45}\)
1 = 1
What is the difference between a fraction that has a denominator of 1 and a fraction with a denominator that is the same as the numerator?
Answer:
A fraction with denominator 1 is a whole number which cannot be simplified further more
A fraction with denominator same as numerator means it is a whole
when we simplify the fraction we get 1 as the answer.
Shade \(\frac{9}{9}\) of the row labeled A.
Answer:
Explanation:
\(\frac{9}{9}\) = 1
So we have to shade the whole row labeled A
Starting at B, shade \(\frac{5}{1}\) circles going down.
Answer:
Explanation:
\(\frac{5}{1}\) = 5
So, we will shade circles towards [including B]
Starting at C, shade \(\frac{7}{1}\) circles going right.
Answer:
Explanation:
\(\frac{7}{1}\) = 7
So, we will shade 7 circles towards [including C]
Starting at D, shade \(\frac{6}{1}\) circles going up.
Answer:
Explanation:
\(\frac{6}{1}\) = 6
So, we will shade 6 circles towards [including D]
Starting at E, shade \(\frac{7}{1}\) circles going left.
Answer:
Explanation:
\(\frac{7}{1}\) = 7
So, we will shade 7 circles towards [including E]
Starting at F, shade \(\frac{6}{1}\) circles going up.
Answer:
Explanation:
\(\frac{6}{1}\) = 6
So, we will shade 6 circles towards [including F]
Starting at G, shade \(\frac{2}{1}\) circles going right.
Answer:
Explanation:
\(\frac{2}{1}\) = 2
So, we will shade 2 circles towards [including G]
Starting at H, shade \(\frac{5}{1}\) circles going left.
Answer:
Explanation:
\(\frac{5}{1}\) = 5
So, we will shade 5 circles towards [including H]
Starting at I, shade \(\frac{4}{4}\) circles.
Answer:
Explanation:
\(\frac{4}{4}\) = 1
So, we will shade 1 circle towards [including I]
Are You Ready?
Complete these problems to review prior concepts and skills you will need for this module.
Fractions Equal to 1
Write a fraction that names the whole.
Question 1.
_________ = 1 whole
Answer:
\(\frac{3}{3}\) = 1 whole
Explanation:
The given whole is divided into 3 equal parts,
all parts are shaded, it is expressed in fraction as \(\frac{3}{3}\) = 1 whole
Question 2.
_________ = 1 whole
Answer:
\(\frac{6}{6}\) = 1 whole
Explanation:
The given whole is divided into 6 equal parts,
all parts are shaded, it is expressed in fraction as \(\frac{6}{6}\) = 1 whole
Fractions of a Whole
Write a fraction for the shaded part.
Question 3.
Answer:
\(\frac{3}{6}\)
Explanation:
The whole is divided into 6 equal parts, 3 parts are shaded.
So, the fraction for shaded part is \(\frac{3}{6}\)
Question 4.
Answer:
\(\frac{7}{8}\)
Explanation:
The whole is divided into 8 equal parts, 7 parts are shaded.
So, the fraction for shaded part is \(\frac{7}{8}\)
Question 5.
Answer:
\(\frac{3}{4}\)
Explanation:
The whole is divided into 4 equal parts, 3 parts are shaded.
So, the fraction for shaded part is \(\frac{3}{4}\)
Question 6.
Answer:
\(\frac{1}{3}\)
Explanation:
The whole is divided into 1 equal parts, 3 parts are shaded.
So, the fraction for shaded part is \(\frac{1}{3}\)
Read and Write Fractions
Write a fraction for the shaded part. Write a fraction for the unshaded part.
Question 7.
shaded: ___________
unshaded: ___________
Answer:
\(\frac{3}{6}\)
Explanation:
Total there are 6, 3 are shaded and 3 are unshaded.
Fraction for shaded and unshaded parts = \(\frac{3}{6}\)
Question 8.
shaded: ___________
unshaded: ___________
Answer:
shaded \(\frac{5}{6}\)
unshaded \(\frac{1}{6}\)
Explanation:
The whole is divided into 6 equal parts, 5 are shaded and 1 is unshaded.
Fraction for shaded parts = \(\frac{5}{6}\)
Fraction for unshaded parts = \(\frac{1}{6}\)