320/116 as a Decimal and Mixed Number

320/116 as a decimal and mixed number expansion provides the detailed information about what is 320/116 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

320/116 as a Decimal
320/116 = 2.7586
Hence,
320/116 as a decimal equals to 2.7586
where,
320/116 is a given fraction,
The decimal expansion of 320/116 is 2.7586

320/116 as a Mixed Number
320/116 = (232 + 88)/116
= 232/116 + 88/116
= 2 + 88/116
= 2 88/116
320/116 = 2 88/116

Hence,
320/116 as a mixed number is 2 ⁸⁸/₁₁₆
where,
320/116 is a given fraction,
2 ⁸⁸/₁₁₆ is the mixed number representation of 320/116.

The below work with steps provide the detailed information about how to convert fraction 320/116 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 320/116

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 320/116.

step 2 The numerator is greater than the denominator of the fraction 320/116, so write the given fraction in the expression form in terms of denominator as like the below:
= 320/116
= 232 + 88/116
= (2 x 116) + 88/116

step 3 Make the above expression as individual fractions:
= (2 x 116)/116 + 88/116

step 4 Simplify the above expression:
= 2 x 116/116 + 88/116
= 2 + 88/116
= 2 + 22 x 4/29 x 4
= 2 + 22/29
2 + 22/29 can be written as a mixed number 2 ²²/₂₉.


step 5 Find the decimal equivalent for the fractional part 22/29 in the above expression:
= 2 + 0.7586
= 2.7586
320/116 = 2.7586

Hence,
320/116 as a decimal is 2.7586
320/116 as a mixed number is 2 ²²/₂₉