Converting 1.524 to a Fraction
Step-by-step explanation of how to convert 1.524 to a fraction

Result

1.524 =
381
250
Mixed number:
1
131
250

Step 1: Identify the number of decimal places

The decimal 1.524 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

1.524 × 1000 = 1524

Step 3: Write as a fraction

1.524 =

1524
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1524 and 1000.

GCD(1524, 1000) = 4

Divide both the numerator and denominator by the GCD:

1524
1000

=

1524 ÷ 4
1000 ÷ 4

=

381
250
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