Converting 42.826 to a Fraction
Step-by-step explanation of how to convert 42.826 to a fraction

Result

42.826 =
21413
500
Mixed number:
42
413
500

Step 1: Identify the number of decimal places

The decimal 42.826 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

42.826 × 1000 = 42826

Step 3: Write as a fraction

42.826 =

42826
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 42826 and 1000.

GCD(42826, 1000) = 2

Divide both the numerator and denominator by the GCD:

42826
1000

=

42826 ÷ 2
1000 ÷ 2

=

21413
500
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