McGraw Hill Math Grade 8 Lesson 7.2 Answer Key Changing Fractions to Decimals

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 7.2 Changing Fractions to Decimals to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 7.2 Changing Fractions to Decimals

Exercises

CONVERT TO DECIMAL.

Round to the nearest thousandth.

Question 1.
1\(\frac{5}{16}\)
Answer:
1.313
Explanation:
1\(\frac{5}{16}\)

= \(\frac{(16×1)+5}{16}\)

= \(\frac{21}{16}\) = 1.313

Question 2.
2\(\frac{4}{7}\)
Answer:
2.571
Explanation:
2\(\frac{4}{7}\)

= \(\frac{(7×2)+4}{7}\)

= \(\frac{14+4}{7}\)

= \(\frac{18}{7}\) = 2.571

Question 3.
\(\frac{48}{200}\)
Answer:
0.240
Explanation:
\(\frac{48}{200}\)
By dividing numerator with denominator we get 0.240

Question 4.
3\(\frac{375}{500}\)
Answer:
3.750
Explanation:
3\(\frac{375}{500}\)

= \(\frac{(3×500)+375}{500}\)

= \(\frac{1500+375}{500}\)
= \(\frac{1875}{500}\) = 3.750

Question 5.
\(\frac{6}{202}\)
Answer:
0.030
Explanation:
\(\frac{6}{202}\)
By dividing numerator with denominator we get 0.030

Question 6.
7\(\frac{13}{33}\)
Answer:
7.394
Explanation:
7\(\frac{13}{33}\)

= \(\frac{(7×33)+13}{33}\)

= \(\frac{231+4}{33}\)

= \(\frac{235}{33}\) = 7.394

Question 7.
\(\frac{52}{156}\)
Answer:
0.333
Explanation:
\(\frac{52}{156}\)
By dividing numerator with denominator we get 0.333

Question 8.
4\(\frac{11}{15}\)
Answer:
4.733
Explanation:
4\(\frac{11}{15}\)

= \(\frac{(4×15)+11}{15}\)

= \(\frac{60+11}{15}\)

= \(\frac{71}{15}\) = 4.733

Question 9.
1\(\frac{1}{2001}\)
Answer:
1.000
Explanation:
1\(\frac{1}{2001}\)

= \(\frac{(1×2001)+1}{2001}\)

= \(\frac{2001+1}{2001}\)

= \(\frac{2002}{2001}\) = 1.000

Question 10.
2\(\frac{33}{78}\)
Answer:
2.423
Explanation:
2\(\frac{33}{78}\)

= \(\frac{(2×78)+33}{78}\)

= \(\frac{156+33}{78}\)

= \(\frac{189}{78}\) = 2.423

Question 11.
2\(\frac{15}{32}\)
Answer:
2.469
Explanation:
2\(\frac{15}{32}\)

= \(\frac{(2×32)+15}{32}\)

= \(\frac{64+15}{32}\)

= \(\frac{79}{32}\) = 2.469

Question 12.
2\(\frac{45}{76}\)
Answer:
2.592
Explanation:
2\(\frac{45}{76}\)

= \(\frac{(76×2)+45}{76}\)

= \(\frac{152+45}{76}\)

= \(\frac{197}{76}\) = 2.592

Question 13.
4\(\frac{13}{45}\)
Answer:
4.289
Explanation:
4\(\frac{13}{45}\)

= \(\frac{4×45)+13}{45}\)

= \(\frac{180+13}{45}\)

= \(\frac{193}{45}\) = 4.289

Question 14.
\(\frac{17}{18}\)
Answer:
0.944
Explanation:
\(\frac{17}{18}\)
By dividing the numerator with denominator we get 0.944

Question 15.
5\(\frac{7}{16}\)
Answer:
5.438
Explanation:
5\(\frac{7}{16}\)

= \(\frac{(5×16)+7}{16}\)

= \(\frac{80+7}{16}\)

= \(\frac{87}{16}\) = 5.438

Question 16.
4\(\frac{13}{19}\)
Answer:
4.684
Explanation:
4\(\frac{13}{19}\)

= \(\frac{(4×19)+13}{19}\)

= \(\frac{76+13}{19}\)

= \(\frac{89}{19}\) = 4.684

Question 17.
2\(\frac{7}{10000}\)
Answer:
2.001
Explanation:
2\(\frac{7}{10000}\)

= \(\frac{(2×10000)+7}{10000}\)

= \(\frac{20000+7}{10000}\)

= \(\frac{20007}{10000}\) = 2.001

Question 18.
\(\frac{7}{250}\)
Answer:
0.28
Explanation:
\(\frac{7}{250}\)
By dividing numerator with numerator wee get 0.28

Question 19.
1\(\frac{97}{103}\)
Answer:
1.942
Explanation:
1\(\frac{97}{103}\)

= \(\frac{(1×103)+97}{103}\)

= \(\frac{103+97}{103}\)

= \(\frac{200}{103}\) = 1.942

Question 20.
3\(\frac{7}{11}\)
Answer:
3.636
Explanation:
3\(\frac{7}{11}\)

= \(\frac{(3×11)+7}{11}\)

= \(\frac{33+7}{11}\)

= \(\frac{40}{11}\) = 3.636

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