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McGraw-Hill Math Grade 7 Answer Key Lesson 9.3 Changing Decimals to Fractions
Exercises Change Decimals To Fractions
Question 1.
.85
Answer:
\(\frac{17}{20}\)
Explanation:
Given, .85
\(\frac{85}{100}\)
dividing both the numerator and denominator with 5
17 x 5 = 85
20 x 5 = 100
\(\frac{17}{20}\)
Question 2.
.77
Answer:
\(\frac{77}{100}\)
Explanation:
Given, 0.77
multiplying both the numerator and denominator with 100
\(\frac{77}{100}\)
Question 3.
.888
Answer:
\(\frac{111}{125}\)
Explanation:
Given, 0.888
\(\frac{888}{1000}\)
dividing both the numerator and denominator with 8
111 x 8 = 888
125 x 8 = 1000
\(\frac{111}{125}\)
Question 4.
.0125
Answer:
\(\frac{1}{80}\)
Explanation:
Given, 0.125
\(\frac{125}{10000}\)
dividing both the numerator and denominator with 125
1 x 125 = 125
80 x 125 = 10000
\(\frac{1}{80}\)
Question 5.
.678
Answer:
\(\frac{339}{500}\)
Explanation:
Given, 0.678
\(\frac{678}{1000}\)
dividing both the numerator and denominator with 2
339 x 2 = 678
500 x 2 = 1000
\(\frac{339}{500}\)
Question 6.
.6255
Answer:
\(\frac{1251}{2000}\)
Explanation:
Given, 0.6255
\(\frac{6255}{10000}\)
dividing both the numerator and denominator with 5
1251 x 5 = 6255
2000 x 5 = 10000
\(\frac{1251}{2000}\)
Question 7.
.331
Answer:
\(\frac{331}{1000}\)
Explanation:
Given, 0.331
multiplying both the numerator and denominator with 1000
\(\frac{331}{1000}\)
Question 8.
.4545
Answer:
\(\frac{909}{2000}\)
Explanation:
Given, 0.4545
\(\frac{4545}{10000}\)
dividing both the numerator and denominator with 5
909 x 5 = 4545
2000 x 5 = 10000
\(\frac{909}{2000}\)
Question 9.
.876
Answer:
\(\frac{219}{250}\)
Explanation:
Given, 0.87
\(\frac{876}{1000}\)
dividing both the numerator and denominator with 4
219 x 4 = 876
250 x 4 = 1000
\(\frac{219}{250}\)
Question 10.
.3125
Answer:
\(\frac{5}{16}\)
Explanation:
Given, 0.3125
\(\frac{3125}{10000}\)
dividing both the numerator and denominator with 625
5 x 625 = 3125
16 x 625 = 10000
\(\frac{5}{16}\)
Question 11.
.3435
Answer:
\(\frac{687}{2000}\)
Explanation:
\(\frac{3435}{10000}\)
dividing both the numerator and denominator with 5
687 x 5 = 3435
2000 x 5 = 10000
\(\frac{687}{2000}\)
Question 12.
.7007
Answer:
\(\frac{7007}{10000}\)
Explanation:
Given 0.7007
multiplying both the numerator and denominator with 10000
\(\frac{7007}{10000}\)
Question 13.
.336
Answer:
\(\frac{42}{125}\)
Explanation:
Given, 0.336
\(\frac{336}{1000}\)
dividing both the numerator and denominator with 8
42 x 8 = 336
125 x 8 = 1000
\(\frac{42}{125}\)
Question 14.
.2141
Answer:
\(\frac{2141}{10000}\)
Explanation:
Given, 0.2141
multiplying both the numerator and denominator with 10000
\(\frac{2141}{10000}\)
Question 15.
.56
Answer:
\(\frac{14}{25}\)
Explanation:
Given, 0.56
\(\frac{56}{100}\)
dividing both the numerator and denominator with 4
14 x 4 = 56
25 x 4 = 100
\(\frac{14}{25}\)
Question 16.
.0055
Answer:
Given, 0.0055
\(\frac{11}{2000}\)
Explanation:
\(\frac{55}{10000}\)
dividing both the numerator and denominator with 5
11 x 5 = 55
2000 x 5 = 10000
\(\frac{11}{2000}\)