Converting 1.3575 to a Fraction
Step-by-step explanation of how to convert 1.3575 to a fraction

Result

1.3575 =
543
400
Mixed number:
1
143
400

Step 1: Identify the number of decimal places

The decimal 1.3575 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.3575 × 10000 = 13575

Step 3: Write as a fraction

1.3575 =

13575
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13575 and 10000.

GCD(13575, 10000) = 25

Divide both the numerator and denominator by the GCD:

13575
10000

=

13575 ÷ 25
10000 ÷ 25

=

543
400
Related Conversions
Other decimal to fraction conversions you might find useful