Converting 7.02144 to a Fraction
Step-by-step explanation of how to convert 7.02144 to a fraction

Result

7.02144 =
21942
3125
Mixed number:
7
67
3125

Step 1: Identify the number of decimal places

The decimal 7.02144 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

7.02144 × 100000 = 702144

Step 3: Write as a fraction

7.02144 =

702144
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 702144 and 100000.

GCD(702144, 100000) = 32

Divide both the numerator and denominator by the GCD:

702144
100000

=

702144 ÷ 32
100000 ÷ 32

=

21942
3125
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