Quantity, percentage, percentage value: Convert fractions to percentages

A percentage is actually a form of a fraction, or more precisely, a fraction out of a hundred.

In other words, a fraction where the denominator is always 100.

Therefore, to convert a fraction to a percentage, we multiply it so that the denominator becomes 100.

20*5=100

15*5=75

So the fraction is 75/100, and the percentage is 75%.

To solve the exercise, first we will convert the percentage to its fractional form:

$42\%=\frac{42}{100}$

Now, we multiply the fractional form by 15

$15\times\frac{42}{100}=$

Let's break down the 15 for the multiplication exercise and also the 100 in the denominator for the multiplication exercise:

$3\times5\times\frac{42}{5\times20}$

Keep in mind that the five in the two exercises can be reduced to maintain the exercise:

$3\times\frac{42}{20}=\frac{3\times(2\times21)}{2\times10}$

Here we can also reduce the 2 in the numerator and the denominator:

$\frac{3\times21}{10}=\frac{63}{10}=6.3$