# Spectrum Math Grade 6 Chapter 3 Lesson 6 Answer Key Understanding Percents

Go through the Spectrum Math Grade 6 Answer Key Chapter 3 Lesson 3.6 Understanding Percents and get the proper assistance needed during your homework.

## Spectrum Math Grade 6 Chapter 3 Lesson 3.6 Understanding Percents Answers Key

The symbol % (percent) means $$\frac{1}{100}$$ or 0.01 (one hundredth).
7% = 7 × $$\frac{1}{100}$$
= $$\frac{7}{1}$$ × $$\frac{1}{100}$$
= $$\frac{7}{100}$$

6% = 6 × 0.01
= 0.06

23% = 23 × $$\frac{1}{100}$$
= $$\frac{23}{100}$$

47% = 47 × 0.01
= 0.47

Write the fraction and decimal for each percent. Write fractions in simplest form.

Question 1.
Percent
2%
Fraction _________
Decimal _________
Fraction of 2% is $$\frac{2}{100}$$.
Decimal of 2% is 0.02.

Explanation:
Fraction:
2% = 2 × $$\frac{1}{100}$$
= $$\frac{2}{100}$$
Decimal:
2% = 2 × 0.01
= 0.02.

Question 2.
Percent
8%
Fraction _________
Decimal _________
Fraction of 8% is $$\frac{8}{100}$$.
Decimal of 8% is 0.08.

Explanation:
Fraction:
8% = 8 × $$\frac{1}{100}$$
= $$\frac{8}{100}$$
Decimal:
8% = 8 × 0.01
= 0.08.

Question 3.
Percent
27%
Fraction _________
Decimal _________
Fraction of 27% is $$\frac{27}{100}$$.
Decimal of 27% is 0.27.

Explanation:
Fraction:
27% = 27 × $$\frac{1}{100}$$
= $$\frac{27}{100}$$
Decimal:
27% = 27 × 0.01
= 0.27.

Question 4.
Percent
13%
Fraction _________
Decimal _________
Fraction of 13% is $$\frac{13}{100}$$.
Decimal of 13% is 0.13.

Explanation:
Fraction:
13% = 13 × $$\frac{1}{100}$$
= $$\frac{13}{100}$$
Decimal:
13% = 13 × 0.01
= 0.13.

Question 5.
Percent
68%
Fraction _________
Decimal _________
Fraction of 68% is $$\frac{68}{100}$$.
Decimal of 68% is 0.68.

Explanation:
Fraction:
68% = 68 × $$\frac{1}{100}$$
= $$\frac{68}{100}$$
Decimal:
68% = 68 × 0.01
= 0.68.

Question 6.
Percent
72%
Fraction _________
Decimal _________
Fraction of 72% is $$\frac{72}{100}$$.
Decimal of 72% is 0.72.

Explanation:
Fraction:
72% = 72 × $$\frac{1}{100}$$
= $$\frac{72}{100}$$
Decimal:
72% = 72 × 0.01
= 0.72.

Question 7.
Percent
56%
Fraction _________
Decimal _________
Fraction of 56% is $$\frac{56}{100}$$.
Decimal of 56% is 0.56.

Explanation:
Fraction:
56% = 56 × $$\frac{1}{100}$$
= $$\frac{56}{100}$$
Decimal:
56% = 56 × 0.01
= 0.56.

Question 8.
Percent
11%
Fraction _________
Decimal _________
Fraction of 11% is $$\frac{11}{100}$$.
Decimal of 11% is 0.11.

Explanation:
Fraction:
11% = 11 × $$\frac{1}{100}$$
= $$\frac{11}{100}$$
Decimal:
11% = 11 × 0.01
= 0.11.

Question 9.
Percent
3%
Fraction _________
Decimal _________
Fraction of 3% is $$\frac{3}{100}$$.
Decimal of 3% is 0.03.

Explanation:
Fraction:
3% = 3 × $$\frac{1}{100}$$
= $$\frac{3}{100}$$
Decimal:
3% = 3 × 0.01
= 0.03.

Question 10.
Percent
22%
Fraction _________
Decimal _________
Fraction of 22% is $$\frac{22}{100}$$.
Decimal of 22% is 0.22.

Explanation:
Fraction:
22% = 22 × $$\frac{1}{100}$$
= $$\frac{22}{100}$$
Decimal:
22% = 22 × 0.01
= 0.22.

Question 11.
Percent
17%
Fraction _________
Decimal _________
Fraction of 17% is $$\frac{17}{100}$$.
Decimal of 17% is 0.17.

Explanation:
Fraction:
17% = 17 × $$\frac{1}{100}$$
= $$\frac{17}{100}$$
Decimal:
17% = 17 × 0.01
= 0.17.

Question 12.
Percent
83%
Fraction _________
Decimal _________
Fraction of 83% is $$\frac{83}{100}$$.
Decimal of 83% is 0.83.

Explanation:
Fraction:
83% = 83 × $$\frac{1}{100}$$
= $$\frac{83}{100}$$
Decimal:
83% = 83 × 0.01
= 0.83.

Question 13.
Percent
97%
Fraction _________
Decimal _________
Fraction of 97% is $$\frac{97}{100}$$.
Decimal of 97% is 0.97.

Explanation:
Fraction:
97% = 97 × $$\frac{1}{100}$$
= $$\frac{97}{100}$$
Decimal:
97% = 97 × 0.01
= 0.97.

Question 14.
Percent
43%
Fraction _________
Decimal _________
Fraction of 43% is $$\frac{43}{100}$$.
Decimal of 43% is 0.43.

Explanation:
Fraction:
43% = 43 × $$\frac{1}{100}$$
= $$\frac{43}{100}$$
Decimal:
43% = 43 × 0.01
= 0.43.

Write the fraction and decimal for each percent. Write fractions in simplest form.

Question 1.
Percent
7%
Fraction _________
Decimal _________
Fraction of 7% is $$\frac{7}{100}$$.
Decimal of 7% is 0.07.

Explanation:
Fraction:
7% = 7 × $$\frac{1}{100}$$
= $$\frac{7}{100}$$
Decimal:
7% = 7 × 0.01
= 0.07.

Question 2.
Percent
13%
Fraction _________
Decimal _________
Fraction of 13% is $$\frac{13}{100}$$.
Decimal of 13% is 0.13.

Explanation:
Fraction:
13% = 13 × $$\frac{1}{100}$$
= $$\frac{13}{100}$$
Decimal:
13% = 13 × 0.01
= 0.13.

Question 3.
Percent
48%
Fraction _________
Decimal _________
Fraction of 48% is $$\frac{48}{100}$$.
Decimal of 48% is 0.48.

Explanation:
Fraction:
48% = 48 × $$\frac{1}{100}$$
= $$\frac{48}{100}$$
Decimal:
48% = 48 × 0.01
= 0.48.

Question 4.
Percent
71%
Fraction _________
Decimal _________
Fraction of 71% is $$\frac{71}{100}$$.
Decimal of 71% is 0.71.

Explanation:
Fraction:
71% = 71 × $$\frac{1}{100}$$
= $$\frac{71}{100}$$
Decimal:
71% = 71 × 0.01
= 0.71.

Question 5.
Percent
27%
Fraction _________
Decimal _________
Fraction of 27% is $$\frac{27}{100}$$.
Decimal of 27% is 0.27.

Explanation:
Fraction:
27% = 27 × $$\frac{1}{100}$$
= $$\frac{27}{100}$$
Decimal:
27% = 27 × 0.01
= 0.27.

Question 6.
Percent
2%
Fraction _________
Decimal _________
Fraction of 2% is $$\frac{2}{100}$$.
Decimal of 2% is 0.02.

Explanation:
Fraction:
2% = 2 × $$\frac{1}{100}$$
= $$\frac{2}{100}$$
Decimal:
2% = 2 × 0.01
= 0.02.

Question 7.
Percent
15%
Fraction _________
Decimal _________
Fraction of 15% is $$\frac{15}{100}$$
Decimal of 15% is 0.15.

Explanation:
Fraction:
15% = 15 × $$\frac{1}{100}$$
= $$\frac{15}{100}$$
Decimal:
15% = 15 × 0.01
= 0.15.

Question 8.
Percent
39%
Fraction _________
Decimal _________
Fraction of 39% is $$\frac{39}{100}$$.
Decimal of 39% is 0.39.

Explanation:
Fraction:
39% = 39 × $$\frac{1}{100}$$
= $$\frac{39}{100}$$
Decimal:
39% = 39 × 0.01
= 0.39.

Question 9.
Percent
10%
Fraction _________
Decimal _________
Fraction of 10% is $$\frac{10}{100}$$.
Decimal of 10% is 0.10.

Explanation:
Fraction:
10% = 10 × $$\frac{1}{100}$$
= $$\frac{10}{100}$$
Decimal:
10% = 10 × 0.01
= 0.10.

Question 10.
Percent
62%
Fraction _________
Decimal _________
Fraction of 62% is $$\frac{62}{100}$$.
Decimal of 62% is 0.62.

Explanation:
Fraction:
62% = 62 × $$\frac{1}{100}$$
= $$\frac{62}{100}$$
Decimal:
62% = 62 × 0.01
= 0.62.

Question 11.
Percent
75%
Fraction _________
Decimal _________
Fraction of 75% is $$\frac{75}{100}$$.
Decimal of 75% is 0.75.

Explanation:
Fraction:
75% = 75 × $$\frac{1}{100}$$
= $$\frac{75}{100}$$
Decimal:
75% = 75 × 0.01
= 0.75.

Question 12.
Percent
97%
Fraction _________
Decimal _________
Fraction of 97% is $$\frac{97}{100}$$.
Decimal of 97% is 0.97.

Explanation:
Fraction:
97% = 97 × $$\frac{1}{100}$$
= $$\frac{97}{100}$$
Decimal:
97% = 97 × 0.01
= 0.97.

Question 13.
Percent
53%
Fraction _________
Decimal _________
Fraction of 53% is $$\frac{53}{100}$$.
Decimal of 53% is 0.53.

Explanation:
Fraction:
53% = 53 × $$\frac{1}{100}$$
= $$\frac{53}{100}$$
Decimal:
53% = 53 × 0.01
= 0.53.

Question 14.
Percent
82%
Fraction _________
Decimal _________
Fraction of 82% is $$\frac{82}{100}$$
82% = 82 × $$\frac{1}{100}$$
= $$\frac{82}{100}$$