"Convert 0.35 to a fraction in lowest terms" solved and explained

Dayanara Nash

Answered question

2022-11-24

Convert

0.35

to a fraction in lowest terms

Laylah Henry

Beginner2022-11-25Added 7 answers

Step 1: Convert the decimal to decimal fraction -
Any decimal can be converted to a decimal fraction by removing the decimal and writing

10^{x}

in the denominator, where

x

represents the number of digits after decimal -

0.35 = \frac{35}{10^{2}} = \frac{35}{100}

Step 2: Reduce the fraction to the lowest term -
HCF of

35 & 100

35 = 5 \times 7100 = 2 \times 2 \times 5 \times 5

HCF

= 5

Divide both the numerator and denominator by HCF -

\frac{35}{100} = \frac{35 \div 5}{100 \div 5} = \frac{7}{25}

Therefore,

0.35

in fractional form is

\frac{7}{25} .

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