Converting 8.742 to a Fraction
Step-by-step explanation of how to convert 8.742 to a fraction
Result
8.742 =
4371
500
Mixed number:
8
371
500
Step 1: Identify the number of decimal places
The decimal 8.742 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
8.742 × 1000 = 8742
Step 3: Write as a fraction
8.742 =
8742
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 8742 and 1000.
GCD(8742, 1000) = 2
Divide both the numerator and denominator by the GCD:
8742
1000
=
8742 ÷ 2
1000 ÷ 2
=
4371
500
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