320/88 as a Decimal and Mixed Number

320/88 as a decimal and mixed number expansion provides the detailed information about what is 320/88 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

320/88 as a Decimal
320/88 = 3.6364
Hence,
320/88 as a decimal equals to 3.6364
where,
320/88 is a given fraction,
The decimal expansion of 320/88 is 3.6364

320/88 as a Mixed Number
320/88 = (264 + 56)/88
= 264/88 + 56/88
= 3 + 56/88
= 3 56/88
320/88 = 3 56/88

Hence,
320/88 as a mixed number is 3 ⁵⁶/₈₈
where,
320/88 is a given fraction,
3 ⁵⁶/₈₈ is the mixed number representation of 320/88.

The below work with steps provide the detailed information about how to convert fraction 320/88 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 320/88

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 320/88.

step 2 The numerator is greater than the denominator of the fraction 320/88, so write the given fraction in the expression form in terms of denominator as like the below:
= 320/88
= 264 + 56/88
= (3 x 88) + 56/88

step 3 Make the above expression as individual fractions:
= (3 x 88)/88 + 56/88

step 4 Simplify the above expression:
= 3 x 88/88 + 56/88
= 3 + 56/88
= 3 + 7 x 8/11 x 8
= 3 + 7/11
3 + 7/11 can be written as a mixed number 3 ⁷/₁₁.


step 5 Find the decimal equivalent for the fractional part 7/11 in the above expression:
= 3 + 0.6364
= 3.6364
320/88 = 3.6364

Hence,
320/88 as a decimal is 3.6364
320/88 as a mixed number is 3 ⁷/₁₁