how do you convert 0.625 into a fraction

0.625 = 625/1000 = 25/40 = 5/8

=7/8

To convert a decimal number into a fraction, follow these steps:

Step 1: Write down the decimal number as a fraction with the decimal as the numerator and 1 as the denominator. For example, for 0.625, you would write it as 0.625/1.

Step 2: To eliminate the decimal, multiply both the numerator and denominator by 10, 100, 1000, or any other power of 10 until the decimal is removed. For 0.625, we can multiply by 1000 to remove the decimal. This gives us (0.625 × 1000)/(1 × 1000) = 625/1000.

Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, both 625 and 1000 can be divided by 125, so the simplified fraction is (625 ÷ 125)/(1000 ÷ 125) = 5/8.

Thus, 0.625 can be expressed as the fraction 5/8.