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Write $0.35$ as a fraction. $\newline$ _____

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Convert between decimals and fractions

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Q. Write

0.35

as a fraction.

\newline

_____

Understand Decimal Place Value: To convert a decimal to a fraction, we need to understand the place value of the decimal. The decimal $0.35$ has a ' $3$ ' in the tenths place and a ' $5$ ' in the hundredths place. This means that $0.35$ can be written as $35$ hundredths.
Write Decimal as Fraction: Now, we write $35$ hundredths as a fraction. Since 'hundredths' means 'out of $100$ ', we can write this as $\frac{35}{100}$ .
Simplify Fraction with GCD: The fraction $\frac{35}{100}$ can be simplified by finding the greatest common divisor (GCD) of $35$ and $100$ and dividing both the numerator and the denominator by that number. The GCD of $35$ and $100$ is $5$ .
Divide Numerator and Denominator: Divide both the numerator and the denominator by the GCD, which is $5$ . So, $35 \div 5 = 7$ and $100 \div 5 = 20$ . Therefore, the simplified fraction is $\frac{7}{20}$ .

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