Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 7.3 Changing Decimals to Fractions to secure good marks & knowledge in the exams.
McGraw-Hill Math Grade 8 Answer Key Lesson 7.3 Changing Decimals to Fractions
Exercises
CONVERT TO FRACTION
Question 1.
1.3 ____________
Answer:
\(\frac{13}{10}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
1.3 = \(\frac{13}{10}\)
Question 2.
.60 ___________
Answer:
\(\frac{3}{5}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
0.60 = \(\frac{60}{100}\)
simplify \(\frac{3}{5}\)
Question 3.
.588 ___________
Answer:
\(\frac{147}{250}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
0.588 = \(\frac{588}{1000}\)
simplify \(\frac{294}{500}\)
= \(\frac{147}{250}\)
Question 4.
3.875 ___________
Answer:
\(\frac{31}{8}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
3.875 = \(\frac{3875}{1000}\)
simplify \(\frac{775}{200}\)
= \(\frac{155}{40}\)
= \(\frac{31}{8}\)
Question 5.
6.75 _____________
Answer:
\(\frac{27}{4}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
6.75 = \(\frac{675}{100}\)
simplify \(\frac{135}{20}\)
\(\frac{27}{4}\)
Question 6.
1.125 ______________
Answer:
\(\frac{9}{8}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
1.125 = \(\frac{1125}{1000}\)
simplify \(\frac{225}{200}\)
= \(\frac{45}{40}\)
= \(\frac{9}{8}\)
Question 7.
3.26 ______________
Answer:
\(\frac{163}{50}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
3.26 = \(\frac{326}{100}\)
simplify \(\frac{163}{50}\)
Question 8.
.625 ______________
Answer:
\(\frac{5}{8}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
0.625 = \(\frac{625}{1000}\)
simplify \(\frac{125}{200}\)
= \(\frac{25}{40}\)
= \(\frac{5}{8}\)
Question 9.
4.2 ___________
Answer:
\(\frac{21}{5}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
4.2 = \(\frac{42}{100}\)
simplify \(\frac{21}{5}\)
Question 10.
12.101 _____________
Answer:
\(\frac{12101}{1000}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
12.101 = \(\frac{12101}{1000}\)
Question 11.
2.009 ____________
Answer:
\(\frac{2009}{1000}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
2.009 = \(\frac{2009}{1000}\)
Question 12.
.3125 _____________
Answer:
\(\frac{5}{16}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
0.3125 = \(\frac{3125}{10000}\)
simplify \(\frac{625}{2000}\)
= \(\frac{125}{400}\)
= \(\frac{25}{80}\)
= \(\frac{5}{16}\)
Question 13.
1.046875 ____________
Answer:
\(\frac{67}{64}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
1.046875 = \(\frac{1046875}{1000000}\)
simplify \(\frac{209375}{200000}\)
= \(\frac{41875}{40000}\)
= \(\frac{8375}{8000}\)
= \(\frac{1675}{1600}\)
= \(\frac{335}{320}\)
= \(\frac{67}{64}\)
Question 14.
2.64 _____________
Answer:
\(\frac{66}{25}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
2.64 = \(\frac{264}{100}\)
simplify \(\frac{132}{50}\)
= \(\frac{66}{25}\)
Question 15.
5.55 ______________
Answer:
\(\frac{111}{20}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
5.55 = \(\frac{555}{100}\)
simplify \(\frac{111}{20}\)
Question 16.
22.222 ______________
Answer:
\(\frac{11111}{500}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
22.222 = \(\frac{22222}{1000}\)
simplify \(\frac{11111}{500}\)
Question 17.
5.8 _____________
Answer:
\(\frac{29}{5}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
5.8 = \(\frac{58}{10}\)
simplify \(\frac{29}{5}\)
Question 18.
33.99 _____________
Answer:
\(\frac{3399}{100}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
33.99 = \(\frac{3399}{100}\)
Question 19.
3.5 ______________
Answer:
\(\frac{7}{2}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
3.5 = \(\frac{35}{10}\)
simplify \(\frac{7}{2}\)
Question 20.
8.18 ______________
Answer:
\(\frac{409}{50}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
8.18 = \(\frac{818}{100}\)
simplify \(\frac{409}{50}\)
Question 21.
Chad had .625 gallons of gas left in his lawnmower at the end of summer. Restate the amount as a fraction.
Answer:
\(\frac{5}{8}\)
Explanation:
Chad had .625 gallons of gas left in his lawnmower at the end of summer.
First use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
0.625 = \(\frac{625}{1000}\)
simplify \(\frac{125}{200}\)
= \(\frac{25}{40}\)
= \(\frac{5}{8}\)
Question 22.
‘Wanda toured the milk processing plant with her class. The guide said there were over .75 miles of conveyor belts in the plant. Restate that number as a fraction.
Answer:
\(\frac{3}{4}\)
Explanation:
The guide said there were over .75 miles of conveyor belts in the plant.
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
0.75 = \(\frac{75}{100}\)
simplify \(\frac{15}{20}\)
\(\frac{3}{4}\)