Converting 75.4 to a Fraction
Step-by-step explanation of how to convert 75.4 to a fraction
Result
75.4 =
377
5
Mixed number:
75
2
5
Step 1: Identify the number of decimal places
The decimal 75.4 has 1 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 101 = 10 to eliminate the decimal point.
75.4 × 10 = 754
Step 3: Write as a fraction
75.4 =
754
10
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 754 and 10.
GCD(754, 10) = 2
Divide both the numerator and denominator by the GCD:
754
10
=
754 ÷ 2
10 ÷ 2
=
377
5
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