Converting 1.57824 to a Fraction
Step-by-step explanation of how to convert 1.57824 to a fraction

Result

1.57824 =
4932
3125
Mixed number:
1
1807
3125

Step 1: Identify the number of decimal places

The decimal 1.57824 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

1.57824 × 100000 = 157824

Step 3: Write as a fraction

1.57824 =

157824
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 157824 and 100000.

GCD(157824, 100000) = 32

Divide both the numerator and denominator by the GCD:

157824
100000

=

157824 ÷ 32
100000 ÷ 32

=

4932
3125
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