Converting 42.825 to a Fraction
Step-by-step explanation of how to convert 42.825 to a fraction

Result

42.825 =
1713
40
Mixed number:
42
33
40

Step 1: Identify the number of decimal places

The decimal 42.825 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

42.825 × 1000 = 42825

Step 3: Write as a fraction

42.825 =

42825
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 42825 and 1000.

GCD(42825, 1000) = 25

Divide both the numerator and denominator by the GCD:

42825
1000

=

42825 ÷ 25
1000 ÷ 25

=

1713
40
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