Converting 1.148 to a Fraction
Step-by-step explanation of how to convert 1.148 to a fraction

Result

1.148 =
287
250
Mixed number:
1
37
250

Step 1: Identify the number of decimal places

The decimal 1.148 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

1.148 × 1000 = 1148

Step 3: Write as a fraction

1.148 =

1148
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1148 and 1000.

GCD(1148, 1000) = 4

Divide both the numerator and denominator by the GCD:

1148
1000

=

1148 ÷ 4
1000 ÷ 4

=

287
250
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