Converting 69.9728 to a Fraction
Step-by-step explanation of how to convert 69.9728 to a fraction

Result

69.9728 =
43733
625
Mixed number:
69
608
625

Step 1: Identify the number of decimal places

The decimal 69.9728 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

69.9728 × 10000 = 699728

Step 3: Write as a fraction

69.9728 =

699728
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 699728 and 10000.

GCD(699728, 10000) = 16

Divide both the numerator and denominator by the GCD:

699728
10000

=

699728 ÷ 16
10000 ÷ 16

=

43733
625
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