Division That Gives A Decimal

Share 29 m of ribbon between 2 and then 4 friends, by turning the division into a fraction over 10 or 100.

5 micro-lessons

Preview · progress not saved — Chapter 1 is free

Make a Power-of-Ten Denominator

Fractions are easy to write as decimals once the denominator is 10, 100 or 1000.

$29 \div 4$ is the fraction $\frac{29}{4}$ . A fraction is easy to write as a decimal when its denominator is 10, 100, 1000…

1 / 3

Example 7: sharing ribbon between 2 friends, then 4.

Problem. Neenu has 29 m of ribbon to share equally with Anu. How much does each get? What if 4 friends share it? (Textbook pp. 75–76, Example 7)

1 / 5

Find the number that turns the denominator into 10, 100 or 1000.

Making 10, 100 or 1000

\frac{a}{b} = \frac{a \times k}{b \times k} with b \times k = 10, 100, 1000 \dots

What each part means

2 \times 5

— = 10

4 \times 25

— = 100

8 \times 125

— = 1000

20 \times 5

— = 100

50 \times 2

— = 100

When it works

Works only when the denominator is made of 2s and 5s. It fails for 3, 7, 9, 11, …

Example

\frac{29}{4} = \frac{725}{100} = 7.25

Turn each fraction into a decimal by fixing the denominator.

0 of 7 blanks filled

Figure it Out, Textbook p. 83, Q1.

(a) 18/5 = 36/ =

(b) 415/4 = /100 =

(d) 4827/8 = /1000 =

Write each fraction as a decimal.

1 / 5

$\frac{2}{5} = ?$ (Textbook p. 86, Q1)

Fractions are easy to write as decimals once the denominator is 10, 100 or 1000.

$29 \div 4$ is the fraction $\frac{29}{4}$ . A fraction is easy to write as a decimal when its denominator is 10, 100, 1000…

1 / 3

Write each fraction as a decimal.

1 / 5

$\frac{2}{5} = ?$ (Textbook p. 86, Q1)