Converting 1.565 to a Fraction
Step-by-step explanation of how to convert 1.565 to a fraction

Result

1.565 =
313
200
Mixed number:
1
113
200

Step 1: Identify the number of decimal places

The decimal 1.565 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

1.565 × 1000 = 1565

Step 3: Write as a fraction

1.565 =

1565
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1565 and 1000.

GCD(1565, 1000) = 5

Divide both the numerator and denominator by the GCD:

1565
1000

=

1565 ÷ 5
1000 ÷ 5

=

313
200
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