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1.875 As A Fraction In Simplest Form

less than a minute read Jul 18, 2024
1.875 As A Fraction In Simplest Form

1.875 as a Fraction in Simplest Form

What is 1.875 as a Fraction?

The decimal number 1.875 can be converted into a fraction in its simplest form. To do this, we need to find the equivalent fraction that has the same value as the decimal number.

Conversion Steps

  1. Step 1: Convert the decimal to a fraction
    • Divide the decimal number by 1: 1.875 ÷ 1 = 1.875
    • Multiply the numerator and denominator by 1000 to eliminate the decimal points: (1.875 × 1000) / (1 × 1000) = 1875/1000
  2. Step 2: Simplify the fraction
    • Divide both the numerator and denominator by their greatest common divisor (GCD): GCD(1875, 1000) = 125
    • Divide the numerator and denominator by the GCD: 1875 ÷ 125 = 15, 1000 ÷ 125 = 8
    • The simplified fraction is: 15/8

** Result **

Therefore, the decimal number 1.875 is equal to the fraction 15/8 in its simplest form.

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