Converting 0.698125 to a Fraction
Step-by-step explanation of how to convert 0.698125 to a fraction

Result

0.698125 =
1117
1600

Step 1: Identify the number of decimal places

The decimal 0.698125 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.698125 × 1000000 = 698125

Step 3: Write as a fraction

0.698125 =

698125
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 698125 and 1000000.

GCD(698125, 1000000) = 625

Divide both the numerator and denominator by the GCD:

698125
1000000

=

698125 ÷ 625
1000000 ÷ 625

=

1117
1600
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