We included HMH Into Math Grade 5 Answer Key PDF Module 7 Add and Subtract Fractions and Mixed Numbers with Unlike Denominators to make students experts in learning maths.
HMH Into Math Grade 5 Module 7 Answer Key Add and Subtract Fractions and Mixed Numbers with Unlike Denominators
Can you place the numbers?
- Use each of the numbers on the cards to write an equation using mixed numbers with like denominators.
Answer:
We have to use all the numbers to find the sum of the mixed numbers.
2\(\frac{6}{8}\) + 5\(\frac{8}{8}\) = 8\(\frac{3}{4}\)
Turn and Talk
- How did you solve the problem?
Are You Ready?
Complete these problems to review prior concepts and skills you will need for this module.
Explore Mixed Numbers
Write the fraction as a mixed number.
Question 1.
\(\frac{8}{5}\) = ___
Answer:
Convert from improper fraction to mixed fraction.
\(\frac{8}{5}\) = 1\(\frac{3}{5}\)
So, \(\frac{8}{5}\) in the mixed number can be written as 1\(\frac{3}{5}\)
Question 2.
\(\frac{13}{5}\) = ___
Answer:
Convert from improper fraction to mixed fraction.
\(\frac{13}{5}\) = 2\(\frac{3}{5}\)
So, \(\frac{13}{5}\) in the mixed number can be written as 2\(\frac{3}{5}\)
Question 3.
\(\frac{11}{5}\) = ___
Answer:
Convert from improper fraction to mixed fraction.
\(\frac{11}{5}\) = 2\(\frac{1}{5}\)
So, \(\frac{11}{5}\) in the mixed number can be written as 2\(\frac{1}{5}\)
Question 4.
\(\frac{12}{5}\) = ___
Answer:
Convert from improper fraction to mixed fraction.
\(\frac{12}{5}\) = 2\(\frac{2}{5}\)
So, \(\frac{12}{5}\) in the mixed number can be written as 2\(\frac{2}{5}\)
Question 5.
\(\frac{6}{5}\) = ___
Answer:
Convert from improper fraction to mixed fraction.
\(\frac{6}{5}\) = 1\(\frac{1}{5}\)
So, \(\frac{6}{5}\) in the mixed number can be written as 1\(\frac{1}{5}\)
Question 6.
\(\frac{14}{5}\) = ___
Answer:
Convert from improper fraction to mixed fraction.
\(\frac{14}{5}\) = 2\(\frac{4}{5}\)
So, \(\frac{14}{5}\) in the mixed number can be written as 2\(\frac{4}{5}\)
Equivalent Fractions
Complete the equation to show how the two fractions are equivalent.
Question 7.
Answer:
The equivalent fraction of 1/4 is 2/8.
Question 8.
Answer:
The equivalent fraction of 2/3 is 4/6
Add and Subtract Fractions
Find the sum or difference.
Question 9.
\(\frac{2}{8}\) + \(\frac{5}{8}\) = ___
Answer:
The denominator of both the fractions is the same.
So, We can add the numerator.
\(\frac{2}{8}\) + \(\frac{5}{8}\) = \(\frac{7}{8}\)
Question 10.
\(\frac{7}{9}\) – \(\frac{1}{9}\) = ___
Answer:
The denominator of both the fractions is the same.
\(\frac{7}{9}\) – \(\frac{1}{9}\) = \(\frac{6}{9}\) = \(\frac{2}{3}\)
Question 11.
\(\frac{1}{6}\) + \(\frac{1}{6}\) = ___
Answer:
The denominator of both the fractions is the same.
So, We can add the numerator.
\(\frac{1}{6}\) + \(\frac{1}{6}\) = \(\frac{2}{6}\) = \(\frac{1}{3}\)
Question 12.
\(\frac{1}{5}\) + \(\frac{2}{5}\) = ___
Answer:
The denominator of both the fractions is the same.
So, We can add the numerator.
\(\frac{1}{5}\) + \(\frac{2}{5}\) = \(\frac{3}{5}\)
Question 13.
\(\frac{2}{3}\) + \(\frac{1}{3}\) = ___
Answer:
The denominator of both the fractions is the same.
So, We can add the numerator.
\(\frac{2}{3}\) + \(\frac{1}{3}\) = \(\frac{3}{3}\) = 1
Question 14.
\(\frac{6}{7}\) – \(\frac{1}{7}\) = ___
Answer:
The denominator of both the fractions is the same.
\(\frac{6}{7}\) – \(\frac{1}{7}\) = \(\frac{5}{7}\)
Question 15.
\(\frac{7}{9}\) – \(\frac{2}{9}\) = ___
Answer:
The denominator of both the fractions is the same.
\(\frac{7}{9}\) – \(\frac{2}{9}\) = \(\frac{5}{9}\)
Question 16.
\(\frac{7}{8}\) – \(\frac{3}{8}\) = ___
Answer:
The denominator of both the fractions is the same.
\(\frac{7}{8}\) – \(\frac{3}{8}\) = \(\frac{4}{8}\) = \(\frac{1}{2}\)
Question 17.
\(\frac{1}{4}\) + \(\frac{1}{4}\) = ___
Answer:
The denominator of both the fractions is the same.
So, We can add the numerator.
\(\frac{1}{4}\) + \(\frac{1}{4}\) = \(\frac{2}{4}\)