Converting 1.156 to a Fraction
Step-by-step explanation of how to convert 1.156 to a fraction
Result
1.156 =
289
250
Mixed number:
1
39
250
Step 1: Identify the number of decimal places
The decimal 1.156 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
1.156 × 1000 = 1156
Step 3: Write as a fraction
1.156 =
1156
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1156 and 1000.
GCD(1156, 1000) = 4
Divide both the numerator and denominator by the GCD:
1156
1000
=
1156 ÷ 4
1000 ÷ 4
=
289
250
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