# Texas Go Math Grade 7 Module 4 Answer Key Proportionality in Geometry

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## Texas Go Math Grade 7 Module 4 Answer Key Proportionality in Geometry

Write each fraction in simplest form.

Question 1.
$$\frac{25}{30}$$ ___________
Simplify . $$\frac{25}{30}$$
1. List all the factors of the numerator and denominator.
2. Circle the greatest common factor (GCF).
3. Divide the numerator and denominator by the GCF.
25: 1, , 25
30: 1, 2, 3, , 6, 10, 15, 30
$$\frac{25 \div 5}{30 \div 5}$$ = $$\frac{5}{6}$$

$$\frac{27}{36}$$ ___________
Simplify . $$\frac{27}{36}$$
1. List all the factors of the numerator and denominator.
2. Circle the greatest common factor (GCF).
3. Divide the numerator and denominator by the GCF.
27: 1, 3, , 27
36: 1, 2. 3, 4, 6, , 12, 18, 36
$$\frac{27 \div 9}{36 \div 9}$$ = $$\frac{3}{4}$$

Question 3.
$$\frac{14}{19}$$ ___________
Simiplify $$\frac{14}{19}$$
1. List ail the factors of the numerator and denominator.
2. Circle the greatest common factor (GCF).
3. Divide the numerator and denominator by the GCF.
14: 1, , 7, 14
16: 1, , 4, 8, 16
$$\frac{14 \div 2}{16 \div 2}$$ = $$\frac{7}{8}$$

Question 4.
$$\frac{15}{45}$$ ___________
Simplify $$\frac{15}{45}$$
1. List ail the factors of the nuiiiera.tor and denominator.
2. Circle the greatest common factor (GCF).
3. Divide the numerator anti denominator by the GCF.
15: 1. 3, 5,
30: 1. 3, 5. 9, , 45
$$\frac{15 \div 15}{45 \div 15}$$ = $$\frac{1}{3}$$

Write each fraction as a decimal.

Question 5.
$$\frac{4}{5}$$ ________
Use long division to write the fraction as a decimal:

$$\frac{3}{8}$$ __________
Use long division to write the fraction as a decimal:

Question 7.
$$\frac{15}{16}$$ ____________
Use long division to write the fraction as a decimal:

$$\frac{13}{20}$$ ____________
Use long division to write the fraction as a decimal:

Find the area of each rectangle.

Question 9.
l = 10 cm, w = 4cm __________
A = l Ã— w
A = 10 Ã— 4
A = 40 cm2

Question 10.
l = 14 in., w = 9.5 in. ________
A = l Ã— w
A = 14 Ã— 9.5
A = 133 in.2

l = 0.7cm, w = 0.35cm _______
A = l Ã— w
A = 0.7 Ã— 0.35
A = 0.245 cm2

Question 12.
l = $$\frac{2}{3}$$ yd, w = $$\frac{1}{2}$$ yd ___________
A = l Ã— w
A = $$\frac{2}{3}$$ Ã— $$\frac{1}{2}$$
A = $$\frac{1}{3}$$ yd2

Visualize Vocabulary

Use the âœ“ words to complete the graphic. You may put more than one word on each line.

Understand Vocabulary

Complete the sentences using the preview words.

Question 1.
What is a proportional two-dimensional drawing of an object? ______________________
A proportional two-dimensional drawing of an object is scale drawing.

What is the distance around a circle? ______________________