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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

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 _________

Answer:

Fraction of 82% is \(\frac{82}{100}\)

Decimal of 82% is 0.82.

Explanation:

Fraction:

82% = 82 × \(\frac{1}{100}\)

= \(\frac{82}{100}\)

Decimal:

82% = 82 × 0.01

= 0.082.