QuestionDivide and simplify: $\frac{12}{25} \div 4 =$

Studdy Solution

STEP 1

Assumptions1. We are dividing a fraction by a whole number. . The whole number is not zero.
3. The result should be in simplest form.

STEP 2

We can rewrite the division of a fraction by a whole number as the multiplication of the fraction by the reciprocal of the whole number.
$\frac{12}{25} \div4 = \frac{12}{25} \times \frac{1}{4}$

STEP 3

Now, we multiply the fractions. To do this, we multiply the numerators together and the denominators together.
$\frac{12}{25} \times \frac{1}{} = \frac{12 \times1}{25 \times}$

STEP 4

Perform the multiplication in the numerator and the denominator.
$\frac{12 \times1}{25 \times4} = \frac{12}{100}$

STEP 5

Now, we simplify the fraction to its simplest form. We can do this by dividing both the numerator and the denominator by the greatest common divisor (GCD) of12 and100, which is4.
$\frac{12}{100} = \frac{12/4}{100/4}$

STEP 6

Perform the division in the numerator and the denominator.
$\frac{12/4}{100/4} = \frac{3}{25}$ So, $\frac{12}{25} \div4 = \frac{3}{25}$ .

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