Go through the Math in Focus Grade 5 Workbook Answer Key Chapter 3 Practice 4 Expressing Fractions, Division Expressions, and Mixed Numbers as Decimals to finish your assignments.
Math in Focus Grade 5 Chapter 3 Practice 4 Answer Key Expressing Fractions, Division Expressions, and Mixed Numbers as Decimals
Write each fraction as a decimal.
Example
\(\frac{3}{5}\) = \(\frac{3}{5}\)
= 0.6
Question 1.
\(\frac{13}{20}\) = ____
= _____
Answer:
\(\frac{13}{20}\) = \(\frac{13}{20}\)
= 0.65
Explanation:
Written the fraction as a decimal.
Question 2.
\(\frac{19}{25}\) = ____
= _____
Answer:
\(\frac{19}{25}\) =\(\frac{19}{25}\)
= 0.76
Explanation:
Written the fraction as a decimal.
Question 3.
\(\frac{47}{50}\) = ____
= _____
Answer:
\(\frac{47}{50}\) = \(\frac{47}{50}\)
= 0.94
Explanation:
Written the fraction as a decimal.
Express each division expression as a mixed number in simplest form and as a decimal.
Explanation:
Question 4.
7 ÷ 2
Answer:
7 ÷ 2 = \(\frac{6}{2}\) + \(\frac{1}{2}\)
= 3 + \(\frac{1}{2}\)
= 3 + 0.5
= 3.5
Explanation:
Converted division expression into mixed fraction and decimal
Question 5.
9 ÷ 4
Answer:
\(\frac{8}{4}\) + \(\frac{1}{4}\)
= 2 + \(\frac{1}{4}\)
= 2 + 0.25
= 2.25
Explanation:
Converted division expression into mixed fraction and decimal
Question 6.
21 ÷ 5
Answer:
\(\frac{20}{5}\) + \(\frac{1}{5}\)
= 4 + \(\frac{1}{5}\)
= 4 + 0.2
= 4.2
Explanation:
Converted division expression into mixed fraction and decimal
Question 7.
101 ÷ 25
Answer:
\(\frac{100}{25}\) + \(\frac{1}{25}\)
= 1 + \(\frac{1}{25}\)
= 4 + 0.04
= 4.04
Explanation:
Converted division expression into mixed fraction and decimal
Express each improper fraction as a decimal.
Example
\(\frac{3}{2}\) = \(\frac{2}{2}\) + \(\frac{1}{2}\)
= 1 + \(\frac{1}{2}\)
= 1 + 0.5
= 1.5
Explanation:
Converted each improper fraction into decimal
Question 8.
\(\frac{22}{5}\)
Answer:
\(\frac{20}{5}\) + \(\frac{2}{5}\)
= 4 + \(\frac{2}{5}\)
= 4 + 0.4
= 4.4
Explanation:
Converted each improper fraction into decimal
Question 9.
\(\frac{47}{20}\)
Answer:
\(\frac{40}{20}\) + \(\frac{7}{20}\)
= 2 + \(\frac{7}{20}\)
= 2 + 0.35
= 2.35
Explanation:
Converted each improper fraction into decimal
Question 10.
\(\frac{32}{25}\)
Answer:
\(\frac{25}{25}\) + \(\frac{7}{25}\)
= 1 + \(\frac{7}{25}\)
= 1 + 0.28
= 1.28
Explanation:
Converted each improper fraction into decimal
Solve. Show your work.
Question 11.
A coil of rope 603 feet long is cut into 25 equal pieces. What is the length of each piece? Express your answer as a mixed number and as a decimal.
Answer:
24.12 in decimal
24\(\frac{3}{25}\) in mixed fraction.
Explanation:
A coil of rope 603 feet long is cut into 25 equal pieces.
603 ÷ 25 = \(\frac{600}{25}\) + \(\frac{3}{25}\)
= 24 + \(\frac{3}{25}\)
= 24\(\frac{3}{25}\)
= 24 + 0.12
= 24 .12
24.12 is the length of each piece