220/75 as a Decimal and Mixed Number

220/75 as a decimal and mixed number expansion provides the detailed information about what is 220/75 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

220/75 as a Decimal
220/75 = 2.9333
Hence,
220/75 as a decimal equals to 2.9333
where,
220/75 is a given fraction,
The decimal expansion of 220/75 is 2.9333

220/75 as a Mixed Number
220/75 = (150 + 70)/75
= 150/75 + 70/75
= 2 + 70/75
= 2 70/75
220/75 = 2 70/75

Hence,
220/75 as a mixed number is 2 ⁷⁰/₇₅
where,
220/75 is a given fraction,
2 ⁷⁰/₇₅ is the mixed number representation of 220/75.

The below work with steps provide the detailed information about how to convert fraction 220/75 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 220/75

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 220/75.

step 2 The numerator is greater than the denominator of the fraction 220/75, so write the given fraction in the expression form in terms of denominator as like the below:
= 220/75
= 150 + 70/75
= (2 x 75) + 70/75

step 3 Make the above expression as individual fractions:
= (2 x 75)/75 + 70/75

step 4 Simplify the above expression:
= 2 x 75/75 + 70/75
= 2 + 70/75
= 2 + 14 x 5/15 x 5
= 2 + 14/15
2 + 14/15 can be written as a mixed number 2 ¹⁴/₁₅.


step 5 Find the decimal equivalent for the fractional part 14/15 in the above expression:
= 2 + 0.9333
= 2.9333
220/75 = 2.9333

Hence,
220/75 as a decimal is 2.9333
220/75 as a mixed number is 2 ¹⁴/₁₅