Question

1 pour chacune des fractions suivantes, trouve une fraction équivalente dont le dénominateur est une puissance de 10.
a) $\frac{3}{5} =$
b) $\frac{7}{25} =$
c) $\frac{9}{20} =$
d) $\frac{101}{200} =$
e) $\frac{8}{25} =$
f) $\frac{1}{250} =$
g) $\frac{421}{500} =$
h) $\frac{11}{20} =$

Explanation:

Step1: Convert denominator to power of 10

For $\frac{7}{25}$: Multiply numerator/denominator by 4, since $25 \times 4 = 100$.
$\frac{7 \times 4}{25 \times 4} = \frac{28}{100}$

Step2: Convert denominator to power of 10

For $\frac{9}{20}$: Multiply numerator/denominator by 5, since $20 \times 5 = 100$.
$\frac{9 \times 5}{20 \times 5} = \frac{45}{100}$

Step3: Convert denominator to power of 10

For $\frac{101}{200}$: Multiply numerator/denominator by 5, since $200 \times 5 = 1000$.
$\frac{101 \times 5}{200 \times 5} = \frac{505}{1000}$

Step4: Correct existing fraction (e)

For $\frac{8}{25}$: Multiply numerator/denominator by 4, since $25 \times 4 = 100$.
$\frac{8 \times 4}{25 \times 4} = \frac{32}{100}$

Step5: Correct existing fraction (f)

For $\frac{1}{250}$: Multiply numerator/denominator by 4, since $250 \times 4 = 1000$.
$\frac{1 \times 4}{250 \times 4} = \frac{4}{1000}$

Step6: Correct existing fraction (g)

For $\frac{421}{500}$: Multiply numerator/denominator by 2, since $500 \times 2 = 1000$.
$\frac{421 \times 2}{500 \times 2} = \frac{842}{1000}$

Step7: Correct existing fraction (h)

For $\frac{11}{20}$: Multiply numerator/denominator by 5, since $20 \times 5 = 100$.
$\frac{11 \times 5}{20 \times 5} = \frac{55}{100}$

Answer:

a) $\frac{6}{10}$
b) $\frac{28}{100}$
c) $\frac{45}{100}$
d) $\frac{505}{1000}$
e) $\frac{32}{100}$
f) $\frac{4}{1000}$
g) $\frac{842}{1000}$
h) $\frac{55}{100}$