Converting 1.5625 to a Fraction
Step-by-step explanation of how to convert 1.5625 to a fraction
Result
1.5625 =
25
16
Mixed number:
1
9
16
Step 1: Identify the number of decimal places
The decimal 1.5625 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
1.5625 × 10000 = 15625
Step 3: Write as a fraction
1.5625 =
15625
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 15625 and 10000.
GCD(15625, 10000) = 625
Divide both the numerator and denominator by the GCD:
15625
10000
=
15625 ÷ 625
10000 ÷ 625
=
25
16
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions