Converting 1.578125 to a Fraction
Step-by-step explanation of how to convert 1.578125 to a fraction

Result

1.578125 =
101
64
Mixed number:
1
37
64

Step 1: Identify the number of decimal places

The decimal 1.578125 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

1.578125 × 1000000 = 1578125

Step 3: Write as a fraction

1.578125 =

1578125
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1578125 and 1000000.

GCD(1578125, 1000000) = 15625

Divide both the numerator and denominator by the GCD:

1578125
1000000

=

1578125 ÷ 15625
1000000 ÷ 15625

=

101
64
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