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.