What is an equal fraction to .375

What is an equal fraction to .375

The correct answer and explanation is:

The decimal 0.375 can be written as the fraction 3/8.

Explanation:

To convert a decimal like 0.375 into a fraction, follow these steps:

1. Identify the place value: The decimal 0.375 has three digits after the decimal point, meaning it is in the thousandths place.
2. Write the decimal as a fraction: Since 0.375 is equivalent to 375 thousandths, the fraction is 375/1000.
3. Simplify the fraction: To simplify the fraction, we need to find the greatest common divisor (GCD) of 375 and 1000.
   • The prime factors of 375 are 3, 5, and 5 (375 = 3 × 5 × 5 × 5).
   • The prime factors of 1000 are 2, 2, 2, 5, and 5 (1000 = 2 × 2 × 2 × 5 × 5).
   The GCD is 125, as that is the largest number that divides both 375 and 1000.
4. Divide both the numerator and denominator by the GCD:
   • Divide 375 by 125: 375 ÷ 125 = 3
   • Divide 1000 by 125: 1000 ÷ 125 = 8
   This results in the simplified fraction 3/8.

Thus, 0.375 as a fraction is 3/8, which is the simplest form of the fraction. This method of converting a decimal to a fraction can be applied to any decimal, where you adjust for place value and simplify the result.