How to divide decimals - ACT Math

Card 0 of 3

Question

What is $0.625\div0.25$ ?

Answer

0.625 is equal to $\frac{625}{1000}$ , while .25 is equal to $\frac{25}{100}$ . Dividing by fractions is the same as multiplying by the reciprocal of the divisor. Thus, $\frac{625}{1000}$ $\times \frac{100}{25}$ which equals $\frac{25}{10}$ , which simplifies to 2.5.

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Question

Divide: $\frac{.5}{.25}$

Answer

Eliminate the decimal place on the denominator by moving the decimal place 2 spaces to the right. Follow suit for the numerator. The decimal place should also move the same number of units to the right. Evaluate.

$\frac{.5}{.25}= \frac{.50}{.25} = \frac{50}{25} =2$

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Question

Divide: $1.25\div 0.25$

Answer

Rewrite $1.25\div 0.25$ so that both are in fraction form.

$1.25\div 0.25= \frac{5}{4} \div \frac{1}{4}$

Convert the division sign to multiplication, and take the reciprocal of the 2nd term.

$\frac{5}{4}\cdot \frac{4}{1} =5$

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