We included HMH Into Math Grade 4 Answer Key PDF Module 11 Review to make students experts in learning maths.

Vocabulary

common
denominator
common factor
common
multiple

Choose the correct term from the Vocabulary box to complete the sentence.
Question 1.
When two or more fractions represent the same number of equal parts of the same-sized whole, they have a ______.
When two or more fractions represent the same number of equal parts of the same-sized whole, they have a multiple.

Question 2.
You can use a ___ to divide the numerator and the denominator to find an equivalent fraction.
You can use a common factor to divide the numerator and the denominator to find an equivalent fraction.

Concepts and Skills
Use multiplication or division to generate an equivalent fraction.
Question 3.   Explanation:
$$\frac{3}{5}$$ = $$\frac{3}{5}$$ × $$\frac{3}{3}$$ = $$\frac{9}{15}$$
$$\frac{3}{5}$$ = $$\frac{3}{5}$$ × $$\frac{5}{5}$$ = $$\frac{15}{25}$$

Question 4.   Explanation:
$$\frac{2}{4}$$ = $$\frac{2}{4}$$ × $$\frac{2}{2}$$ = $$\frac{4}{18}$$
$$\frac{2}{4}$$ = $$\frac{2}{4}$$ × $$\frac{4}{4}$$ = $$\frac{8}{16}$$

Question 5.   Explanation:
$$\frac{4}{8}$$ = $$\frac{4}{8}$$ ÷ $$\frac{4}{4}$$ = $$\frac{1}{2}$$
$$\frac{4}{8}$$ = $$\frac{4}{8}$$ ÷ $$\frac{8}{8}$$ = $$\frac{1}{2}$$ ÷ 1 = $$\frac{1}{2}$$

Question 6.   Explanation:
$$\frac{6}{10}$$ = $$\frac{6}{10}$$ × $$\frac{6}{6}$$ = 1 ÷ $$\frac{10}{6}$$ = $$\frac{10}{6}$$ = 1 × $$\frac{6}{10}$$ = $$\frac{6}{10}$$
$$\frac{6}{10}$$ = $$\frac{6}{10}$$ × $$\frac{10}{10}$$ = $$\frac{6}{10}$$ ÷ 1
= $$\frac{6}{10}$$

Question 7.
Use Tools Nate and Tameeka have two same-sized canvases. Nate paints $$\frac{5}{8}$$ of his canvas blue. Tameeka paints $$\frac{7}{12}$$ of her canvas blue. Who paints more of the canvas blue? Tell what strategy or tool you will use to solve the problem, explain your choice, and then find the answer.
Nate paints more of the canvas blue. We used division method to solve the problem.

Explanation:
Length of Nate paints the blue canvas = $$\frac{5}{8}$$  = 0.625.
Length of Tameeka paints the blue canvas = $$\frac{7}{12}$$ = 0.583.

Compare. Write >, < or =.
Question 8.
$$\frac{2}{3}$$ $$\frac{1}{8}$$
$$\frac{2}{3}$$ > $$\frac{1}{8}$$.

Explanation:
$$\frac{2}{3}$$ = 0.67.
$$\frac{1}{8}$$ = 0.125.

Question 9.
$$\frac{2}{6}$$ $$\frac{5}{10}$$
$$\frac{2}{6}$$ < $$\frac{5}{10}$$.

Explanation:
$$\frac{2}{6}$$ = 0.33.
$$\frac{5}{10}$$ = 0.5.

Question 10.
$$\frac{6}{12}$$ $$\frac{3}{8}$$
$$\frac{6}{12}$$ <  $$\frac{3}{8}$$.

Explanation:
$$\frac{6}{12}$$ = 0.5.
$$\frac{3}{8}$$ = 0.375.

Write the pair of fractions as a pair of fractions with a common denominator.
Question 11.
$$\frac{1}{4}$$ $$\frac{5}{6}$$ _____________
$$\frac{1}{4}$$ < $$\frac{5}{6}$$ – not having common denominator.

Explanation:
$$\frac{1}{4}$$ = $$\frac{1}{4}$$ = 0.25.
$$\frac{5}{6}$$ = $$\frac{5}{6}$$ = 0.83.

Question 12.
$$\frac{3}{5}$$ $$\frac{4}{10}$$ _____________
$$\frac{3}{5}$$ > $$\frac{4}{10}$$ – are having common denominator.

Explanation:
$$\frac{3}{5}$$ = $$\frac{3}{5}$$ = 0.6.
$$\frac{4}{10}$$ = $$\frac{2}{5}$$ = 0.4.

Question 13.
Write the fractions in order, from greatest to least: $$\frac{1}{3}$$, $$\frac{3}{10}$$, $$\frac{2}{8}$$. The fractions in order, from greatest to least:
$$\frac{2}{8}$$, $$\frac{3}{10}$$, $$\frac{1}{3}$$ Explanation:
The fractions in order, from greatest to least:
$$\frac{1}{3}$$ = 0.33.
$$\frac{3}{10}$$ = 0.3.
$$\frac{2}{8}$$ = 0.25.

Question 14.
Which fractions are  to select all the correct answers.
(A) $$\frac{2}{4}$$
(B) $$\frac{3}{4}$$
(C) $$\frac{3}{16}$$
(D) $$\frac{8}{16}$$
(E) $$\frac{12}{16}$$
(F) $$\frac{16}{18}$$
(B) $$\frac{3}{4}$$ and(E) $$\frac{12}{16}$$ fractions are equivalent.
(A) $$\frac{2}{4}$$ and (D) $$\frac{8}{16}$$  fractions are equivalent.

Explanation:
Fractions are equivalent:
(A) $$\frac{2}{4}$$ = $$\frac{1}{2}$$
(B) $$\frac{3}{4}$$ = $$\frac{3}{4}$$
(C) $$\frac{3}{16}$$ = $$\frac{3}{16}$$
(D) $$\frac{8}{16}$$ = $$\frac{1}{2}$$
(E) $$\frac{12}{16}$$ = $$\frac{3}{4}$$
(F) $$\frac{16}{18}$$ = $$\frac{8}{9}$$

Question 15.
Mariah and Ken make sandwiches that are the same size. Mariah eats $$\frac{2}{3}$$ of her sandwich. Ken eats $$\frac{8}{12}$$ of his. Did they eat the same amount of sandwich?  Quantity of her sandwich Mariah eats = $$\frac{2}{3}$$
Quantity of his sandwich Ken eats = $$\frac{8}{12}$$ = $$\frac{2}{3}$$