Converting 1.3578 to a Fraction
Step-by-step explanation of how to convert 1.3578 to a fraction

Result

1.3578 =
6789
5000
Mixed number:
1
1789
5000

Step 1: Identify the number of decimal places

The decimal 1.3578 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.3578 × 10000 = 13578

Step 3: Write as a fraction

1.3578 =

13578
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13578 and 10000.

GCD(13578, 10000) = 2

Divide both the numerator and denominator by the GCD:

13578
10000

=

13578 ÷ 2
10000 ÷ 2

=

6789
5000
Related Conversions
Other decimal to fraction conversions you might find useful