All the solutions provided in McGraw Hill My Math Grade 4 Answer Key PDF Chapter 9 Lesson 4 Subtract Like Fractions will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Answer Key Chapter 9 Lesson 4 Subtract Like Fractions
Think of subtracting like fractions as separating parts that refer to the same whole. To subtract like fractions, subtract the numerators and keep the same denominator.
\(\frac{4}{5}\) – \(\frac{2}{5}\) = \(\frac{2}{5}\)
\(\frac{8}{10}\) – \(\frac{5}{10}\) = \(\frac{3}{10}\)
Math in My World
Example 1
Liliana jogged \(\frac{5}{8}\) of a mile on Monday and \(\frac{3}{8}\) of a mile on Tuesday. How much farther did she jog on Monday?
Find \(\frac{5}{8}\) – \(\frac{3}{8}\).
1. Subtract the numerators. Keep the same denominator.
\(\frac{5}{8}\) – \(\frac{3}{8}\) = \(\frac{5-3}{8}\)
= \(\frac{2}{8}\)
2. Write the difference in simplest form.
So, Liliana jogged 
mile farther on Monday.
Answer:
Number of miles she jog more on Monday = \(\frac{1}{4}\) or 
Explanation:
Number of miles Liliana jogged on Monday = \(\frac{5}{8}\)
Number of miles Liliana jogged on Tuesday = \(\frac{3}{8}\)
Number of miles she jog more on Monday = Number of miles Liliana jogged on Monday – Number of miles Liliana jogged on Tuesday
= \(\frac{5}{8}\) – \(\frac{3}{8}\)
= [(5 – 3) ÷ 8]
= \(\frac{2}{8}\) ÷ \(\frac{2}{2}\)
= \(\frac{1}{4}\)
Example 2
Find \(\frac{7}{10}\) – \(\frac{5}{10}\).
You can also use number lines to subtract like fractions. Count back five groups of \(\frac{1}{10}\) to remove \(\frac{5}{10}\) from \(\frac{7}{10}\).
1. Subtract.
\(\frac{7}{10}\) – \(\frac{5}{10}\) = \(\frac{7-5}{10}\)
= \(\frac{2}{10}\)
2. Simplify.
So, \(\frac{7}{10}\) – \(\frac{5}{10}\) = .
Answer:
So, \(\frac{7}{10}\) – \(\frac{5}{10}\) = 
Explanation:
Difference between \(\frac{7}{10}\) and \(\frac{5}{10}\):
= \(\frac{7}{10}\) – \(\frac{5}{10}\)
= [(7 – 5) ÷ 10]
=
= \(\frac{2}{10}\) ÷ \(\frac{2}{2}\)
= \(\frac{1}{5}\)
Talk Math
Explain how to find \(\frac{7}{8}\) – \(\frac{1}{8}\).
Answer:
The value of \(\frac{7}{8}\) – \(\frac{1}{8}\) can be found by doing subtraction process.
=> \(\frac{7}{8}\) and \(\frac{1}{8}\) = \(\frac{3}{4}\)
Explanation:
Difference between \(\frac{7}{8}\) and \(\frac{1}{8}\):
\(\frac{7}{8}\) – \(\frac{1}{8}\)
= [(7 – 1) ÷ 8
= \(\frac{6}{8}\) ÷ \(\frac{2}{2}\)
= \(\frac{3}{4}\)
Guided Practice
Find each difference. Write in simplest form.
Question 1.
\(\frac{6}{8}\) – \(\frac{3}{8}\) =
Answer:
\(\frac{6}{8}\) – \(\frac{3}{8}\) = 
Explanation:
Difference between \(\frac{6}{8}\) and \(\frac{3}{8}\):
\(\frac{6}{8}\) – \(\frac{3}{8}\)
= [(6 – 3) ÷ 8]
= \(\frac{3}{8}\)
Question 2.
\(\frac{11}{12}\) – \(\frac{5}{12}\) =
Answer:
\(\frac{11}{12}\) – \(\frac{5}{12}\) = 
Explanation:
Difference between \(\frac{11}{12}\) and \(\frac{5}{12}\):
\(\frac{11}{12}\) – \(\frac{5}{12}\)
= [(11 – 5) ÷ 12]
= \(\frac{6}{12}\) ÷ \(\frac{6}{6}\)
= \(\frac{1}{2}\)
McGraw Hill My Math Grade 4 Chapter 9 Lesson 4 My Homework Answer Key
Practice
Find each difference. Write in simplest form.
Question 1.
\(\frac{7}{10}\) – \(\frac{4}{10}\) = _________________
Answer:
\(\frac{7}{10}\) – \(\frac{4}{10}\) = \(\frac{3}{10}\)
Explanation:
Difference between \(\frac{7}{10}\) and \(\frac{4}{10}\):
\(\frac{7}{10}\) – \(\frac{4}{10}\)
= [(7 – 4) ÷ 10]
= \(\frac{3}{10}\)
Question 2.
\(\frac{10}{12}\) – \(\frac{3}{12}\) = _________________
Answer:
\(\frac{10}{12}\) – \(\frac{3}{12}\) = \(\frac{7}{12}\)
Explanation:
Difference between \(\frac{10}{12}\) and \(\frac{3}{12}\):
\(\frac{10}{12}\) – \(\frac{3}{12}\)
= [(10 – 3) ÷ 12]
= \(\frac{7}{12}\)
Question 3.
\(\frac{4}{5}\) – \(\frac{3}{5}\) = _________________
Answer:
\(\frac{4}{5}\) – \(\frac{3}{5}\) = \(\frac{1}{5}\)
Explanation:
Difference between \(\frac{4}{5}\) and \(\frac{3}{5}\):
\(\frac{4}{5}\) – \(\frac{3}{5}\)
= [(4 – 3) ÷ 5]
= \(\frac{1}{5}\)
Question 4.
\(\frac{6}{8}\) – \(\frac{4}{8}\) = _________________
Answer:
\(\frac{6}{8}\) – \(\frac{4}{8}\) = \(\frac{1}{4}\)
Explanation:
Difference between \(\frac{6}{8}\) and \(\frac{4}{8}\):
\(\frac{6}{8}\) – \(\frac{4}{8}\)
= [(6 – 4) ÷ 8]
= \(\frac{2}{8}\) ÷ \(\frac{2}{2}\)
= \(\frac{1}{4}\)
Question 5.
\(\frac{6}{8}\) – \(\frac{2}{8}\) = _________________
Answer:
\(\frac{6}{8}\) – \(\frac{2}{8}\) = \(\frac{1}{2}\)
Explanation:
Difference between \(\frac{6}{8}\) and \(\frac{2}{8}\):
\(\frac{6}{8}\) – \(\frac{2}{8}\)
= [(6 – 2) ÷ 8]
= \(\frac{4}{8}\) ÷ \(\frac{4}{4}\)
= \(\frac{1}{2}\)
Question 6.
\(\frac{4}{10}\) – \(\frac{2}{10}\) = _________________
Answer:
\(\frac{4}{10}\) – \(\frac{2}{10}\) = \(\frac{1}{5}\)
Explanation:
Difference between \(\frac{4}{10}\) and \(\frac{2}{10}\):
\(\frac{4}{10}\) – \(\frac{2}{10}\)
= [(4 – 2) ÷ 10]
= \(\frac{2}{10}\) ÷ \(\frac{2}{2}\)
= \(\frac{1}{5}\)
Question 7.
\(\frac{9}{12}\) – \(\frac{6}{12}\) = _________________
Answer:
\(\frac{9}{12}\) – \(\frac{6}{12}\) = \(\frac{1}{4}\)
Explanation:
Difference between \(\frac{9}{12}\) and \(\frac{6}{12}\):
\(\frac{9}{12}\) – \(\frac{6}{12}\)
= [(9 – 6) ÷ 12
= \(\frac{3}{12}\) ÷ \(\frac{3}{3}\)
= \(\frac{1}{4}\)
Question 8.
\(\frac{80}{100}\) – \(\frac{20}{100}\) = _________________
Answer:
\(\frac{80}{100}\) – \(\frac{20}{100}\) = \(\frac{3}{5}\)
Explanation:
Difference between \(\frac{80}{100}\) and \(\frac{20}{100}\):
\(\frac{80}{100}\) – \(\frac{20}{100}\)
= [(80 – 20) ÷ 100]
= \(\frac{60}{100}\) ÷ \(\frac{10}{10}\)
= \(\frac{6}{10}\) ÷ \(\frac{2}{2}\)
= \(\frac{3}{5}\)
Problem Solving
Solve. Write the answer in simplest form.
Question 9.
A beetle is \(\frac{1}{5}\) inch wide and \(\frac{2}{5}\) inch long. How much greater is the beetle’s length than its width?
Answer:
\(\frac{1}{5}\) greater is the beetle’s length than its width.
Explanation:
Length of a beetle = \(\frac{2}{5}\) inches.
Width of a beetle = \(\frac{1}{5}\) inches.
Difference:
Length of a beetle – Width of a beetle
= \(\frac{2}{5}\) – \(\frac{1}{5}\)
= [(2 – 1) ÷ 5]
= \(\frac{1}{5}\)
Question 10.
Last Friday, \(\frac{7}{10}\) of the rooms at a motel were rented. This Friday, \(\frac{9}{10}\) of the rooms are rented. What fraction more of the rooms are rented this Friday than were rented last Friday?
Answer:
\(\frac{1}{5}\) fraction more of the rooms are rented this Friday than were rented last Friday.
Explanation:
Number of rooms at a motel were rented last Friday = \(\frac{7}{10}\)
Number of rooms at a motel were rented this Friday = \(\frac{9}{10}\)
Difference:
Number of rooms at a motel were rented this Friday – Number of rooms at a motel were rented last Friday
= \(\frac{9{10}\) – \(\frac{7}{10}\)
= [(9 – 7) ÷ 10]
= \(\frac{2}{10}\) ÷ \(\frac{2}{2}\)
= \(\frac{1}{5}\)
Question 11.
Mathematical PRACTICE Use Number Sense Denise teaches obedience classes. Last session, \(\frac{11}{12}\) of the dogs passed her class. This session, \(\frac{9}{12}\) of the dogs passed her class. What fraction more of the dogs passed her class last session?
Answer:
\(\frac{1}{6}\) fraction more of the dogs passed her class last session.
Explanation:
Number of dogs passed her class last session = \(\frac{11}{12}\)
Number of dogs passed her class this session = \(\frac{9}{12}\)
Difference:
Number of dogs passed her class last session – Number of dogs passed her class this session
= \(\frac{11}{12}\) – \(\frac{9}{12}\)
= [(11 – 9) ÷ 12]
= \(\frac{2}{12}\) ÷ \(\frac{2}{2}\)
= \(\frac{1}{6}\)
Test Practice
Question 12.
Find \(\frac{4}{8}\) – \(\frac{2}{8}\). Write in simplest form.
(A) \(\frac{3}{4}\)
(B) \(\frac{4}{8}\)
(C) \(\frac{2}{4}\)
(D) \(\frac{1}{4}\)
Answer:
\(\frac{4}{8}\) – \(\frac{2}{8}\) = \(\frac{1}{4}\)
(D) \(\frac{1}{4}\)
Explanation:
Difference between \(\frac{4}{8}\) and \(\frac{2}{8}\):
\(\frac{4}{8}\) – \(\frac{2}{8}\)
= [(4 – 2) ÷ 8]
= \(\frac{2}{8}\) ÷ \(\frac{2}{2}\)
= \(\frac{1}{4}\)