318/164 as a Decimal and Mixed Number

318/164 as a decimal and mixed number expansion provides the detailed information about what is 318/164 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

318/164 as a Decimal
318/164 = 1.939
Hence,
318/164 as a decimal equals to 1.939
where,
318/164 is a given fraction,
The decimal expansion of 318/164 is 1.939

318/164 as a Mixed Number
318/164 = (164 + 154)/164
= 164/164 + 154/164
= 1 + 154/164
= 1 154/164
318/164 = 1 154/164

Hence,
318/164 as a mixed number is 1 ¹⁵⁴/₁₆₄
where,
318/164 is a given fraction,
1 ¹⁵⁴/₁₆₄ is the mixed number representation of 318/164.

The below work with steps provide the detailed information about how to convert fraction 318/164 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 318/164

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 318/164.

step 2 The numerator is greater than the denominator of the fraction 318/164, so write the given fraction in the expression form in terms of denominator as like the below:
= 318/164
= 164 + 154/164

step 3 Make the above expression as individual fractions:
= 164/164 + 154/164

step 4 Simplify the above expression:
= 1 x 164/164 + 154/164
= 1 + 154/164
= 1 + 77 x 2/82 x 2
= 1 + 77/82
1 + 77/82 can be written as a mixed number 1 ⁷⁷/₈₂.


step 5 Find the decimal equivalent for the fractional part 77/82 in the above expression:
= 1 + 0.939
= 1.939
318/164 = 1.939

Hence,
318/164 as a decimal is 1.939
318/164 as a mixed number is 1 ⁷⁷/₈₂