Converting 0.743125 to a Fraction
Step-by-step explanation of how to convert 0.743125 to a fraction

Result

0.743125 =
1189
1600

Step 1: Identify the number of decimal places

The decimal 0.743125 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.743125 × 1000000 = 743125

Step 3: Write as a fraction

0.743125 =

743125
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 743125 and 1000000.

GCD(743125, 1000000) = 625

Divide both the numerator and denominator by the GCD:

743125
1000000

=

743125 ÷ 625
1000000 ÷ 625

=

1189
1600
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