318/216 as a Decimal and Mixed Number

318/216 as a decimal and mixed number expansion provides the detailed information about what is 318/216 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

318/216 as a Decimal
318/216 = 1.4722
Hence,
318/216 as a decimal equals to 1.4722
where,
318/216 is a given fraction,
The decimal expansion of 318/216 is 1.4722

318/216 as a Mixed Number
318/216 = (216 + 102)/216
= 216/216 + 102/216
= 1 + 102/216
= 1 102/216
318/216 = 1 102/216

Hence,
318/216 as a mixed number is 1 ¹⁰²/₂₁₆
where,
318/216 is a given fraction,
1 ¹⁰²/₂₁₆ is the mixed number representation of 318/216.

The below work with steps provide the detailed information about how to convert fraction 318/216 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 318/216

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 318/216.

step 2 The numerator is greater than the denominator of the fraction 318/216, so write the given fraction in the expression form in terms of denominator as like the below:
= 318/216
= 216 + 102/216

step 3 Make the above expression as individual fractions:
= 216/216 + 102/216

step 4 Simplify the above expression:
= 1 x 216/216 + 102/216
= 1 + 102/216
= 1 + 17 x 6/36 x 6
= 1 + 17/36
1 + 17/36 can be written as a mixed number 1 ¹⁷/₃₆.


step 5 Find the decimal equivalent for the fractional part 17/36 in the above expression:
= 1 + 0.4722
= 1.4722
318/216 = 1.4722

Hence,
318/216 as a decimal is 1.4722
318/216 as a mixed number is 1 ¹⁷/₃₆