Calculate 42% of 15: Step-by-Step Percentage Solution

Question

Calculate 42 % of 15:

Video Solution

Solution Steps

00:00 Calculate 42% of 15
00:03 Apply the formula to convert percentages to fractions
00:11 This fraction is equal to 42%
00:22 Multiply this fraction by the desired number and proceed to solve
00:31 Break down into factors and reduce wherever possible
00:47 This is the solution

Step-by-Step Solution

To solve the exercise, will begin by converting the percentage into a fraction:

42%=42100 42\%=\frac{42}{100}

We will then proceed to multiply the fraction by 15

15×42100= 15\times\frac{42}{100}=

In order to simplify this operation let's break down the 15 from the multiplication exercise as well as the 100 in the denominator for the multiplication exercise:

3×5×425×20 3\times5\times\frac{42}{5\times20}

Take note that the five in both exercises can be reduced:

3×4220=3×(2×21)2×10 3\times\frac{42}{20}=\frac{3\times(2\times21)}{2\times10}

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

3×2110=6310=6.3 \frac{3\times21}{10}=\frac{63}{10}=6.3

Answer

6.3