Convert 0.0375 to a fraction in its simplest form.

To convert the decimal 0.0375 to a fraction in its simplest form, follow these steps:

Write the Decimal as a Fraction Over 1: Start by expressing 0.0375 as a fraction over 1. This gives us: 1 0.0375 ​

Eliminate the Decimal Point: To remove the decimal point, multiply both the numerator and the denominator by 10 for each digit after the decimal point. In this case, you have four digits after the decimal, so multiply by 10,000: 1 × 10 , 000 0.0375 × 10 , 000 ​ = 10 , 000 375 ​

Simplify the Fraction: Now, simplify 10 , 000 375 ​ by finding the greatest common divisor (GCD) of 375 and 10,000. The GCD here is 125. Divide both the numerator and the denominator by this number: 10 , 000 ÷ 125 375 ÷ 125 ​ = 80 3 ​


So, 0.0375 as a fraction in its simplest form is 80 3 ​ .

Answered by LucasMatthewHarris | 2025-07-21