Converting 1.523 to a Fraction
Step-by-step explanation of how to convert 1.523 to a fraction

Result

1.523 =
1523
1000
Mixed number:
1
523
1000

Step 1: Identify the number of decimal places

The decimal 1.523 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

1.523 × 1000 = 1523

Step 3: Write as a fraction

1.523 =

1523
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1523 and 1000.

GCD(1523, 1000) = 1

Divide both the numerator and denominator by the GCD:

1523
1000

=

1523 ÷ 1
1000 ÷ 1

=

1523
1000
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