31/64 as a Decimal
31
64
=
0.484375
This is a terminating decimal because it can be expressed with a finite number of decimal places.
To convert 31/64 to a decimal, we divide the numerator by the denominator:
31 ÷ 64 = 0.484375
Understanding 31/64 as a Decimal
When we convert a fraction to a decimal, we are finding an equivalent value in decimal form. The decimal representation of a fraction shows the fraction as a value on the number line.
Terminating Decimal Explanation
The fraction 31/64 results in a terminating decimal. This means the division yields a remainder of zero after some number of decimal places.
A fraction will produce a terminating decimal if, when reduced to lowest terms, the denominator only has factors of 2 and/or 5.
Fraction to Decimal Method
To convert any fraction to a decimal:
- Divide the numerator by the denominator
- If the division terminates (remainder becomes 0), you have a terminating decimal
- If the division results in a repeating pattern of remainders, you have a repeating decimal