Convert 7.5/10 to Percentage: Step-by-Step Math Guide

Question

Convert the following fraction into a percentage:

7.510=? \frac{7.5}{10}=\text{?}

Video Solution

Solution Steps

00:00 Convert fractions to percentages
00:05 A fraction with a denominator equal to 100 equals the numerator in percentage form (X)
00:12 Apply this formula to our exercise
00:20 Multiply both the numerator and denominator by 10 to obtain a denominator equal to 100
00:35 Proceed to calculate
00:45 This is the solution

Step-by-Step Solution

To solve this problem of converting the fraction 7.510\frac{7.5}{10} to a percentage, we will follow these steps:

  • Step 1: Calculate 7.5×10010\frac{7.5 \times 100}{10}.
  • Step 2: Simplify the expression 75010\frac{750}{10}.
  • Step 3: Perform the division to find the percentage.

Let's perform each calculation step by step:

Step 1:
First, multiply the numerator of the fraction by 100: 7.5×100=7507.5 \times 100 = 750.

Step 2:
Now, divide the result by the denominator: 75010=75\frac{750}{10} = 75.

Step 3:
Therefore, 7.510\frac{7.5}{10} converted to a percentage is 75%.

The correct choice from the given options is 75%.

Answer

75%