9/13 as a Decimal
9/13 as a decimal expansion provides the detailed information about what is 9/13 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
9/13 as a Decimal Expansion
9/13 = 0.6923
Hence,
9/13 as a decimal equals to 0.6923
where,
9/13 is a given fraction,
The decimal expansion of 9/13 is 0.6923
9/13 as a Mixed Number
The given fraction 9/13 can't be represented as a mixed number since the numerator 9 of the given fraction is smaller than the denominator 13.
How-to: 9/13 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 9/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 9/13
What to be found:
Find the decimal expansion of fraction 9/13.
step 2 The numerator is smaller than the denominator of the fraction 9/13, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 9/13.
= 9/13 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 9/13 x 1/100
= 900/13 x 1/100
step 4 Simplify the above expression further:
= 900/13 x 1/100
= 897 + 3/13 x 1/100
= ( 897/13 + 3/13) x 1/100
= (69 + 3/13 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 3/13 in the above expression:
= (69 + 3/13 ) x 1/100
= (69 + 0.231) x 1/100
step 6 Simplify the above expression further:
= (69 + 0.231) x 1/100
= 69.231 x 1/100
= 69.231/100
9/13= 0.69231
Hence,
9/13 as a decimal is 0.69231
Quick Reference Table: 9/13 as a Decimal
The below quick reference table for the nearest values of fraction 9/13 provides the equivalent value in decimal form.
| Fraction | as a Decimal |
|---|---|
| 12/13 | 0.9231 |
| 11/13 | 0.8462 |
| 10/13 | 0.7692 |
| 9/13 | 0.6923 |
| 8/13 | 0.6154 |
| 9/10 | 0.9 |
| 9/11 | 0.81818 |
| 9/12 | 0.75 |
| 9/14 | 0.64286 |
