Converting 1.158 to a Fraction
Step-by-step explanation of how to convert 1.158 to a fraction

Result

1.158 =
579
500
Mixed number:
1
79
500

Step 1: Identify the number of decimal places

The decimal 1.158 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

1.158 × 1000 = 1158

Step 3: Write as a fraction

1.158 =

1158
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1158 and 1000.

GCD(1158, 1000) = 2

Divide both the numerator and denominator by the GCD:

1158
1000

=

1158 ÷ 2
1000 ÷ 2

=

579
500
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