300/88 as a Decimal and Mixed Number

300/88 as a decimal and mixed number expansion provides the detailed information about what is 300/88 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

300/88 as a Decimal
300/88 = 3.4091
Hence,
300/88 as a decimal equals to 3.4091
where,
300/88 is a given fraction,
The decimal expansion of 300/88 is 3.4091

300/88 as a Mixed Number
300/88 = (264 + 36)/88
= 264/88 + 36/88
= 3 + 36/88
= 3 36/88
300/88 = 3 36/88

Hence,
300/88 as a mixed number is 3 ³⁶/₈₈
where,
300/88 is a given fraction,
3 ³⁶/₈₈ is the mixed number representation of 300/88.

The below work with steps provide the detailed information about how to convert fraction 300/88 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 300/88

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 300/88.

step 2 The numerator is greater than the denominator of the fraction 300/88, so write the given fraction in the expression form in terms of denominator as like the below:
= 300/88
= 264 + 36/88
= (3 x 88) + 36/88

step 3 Make the above expression as individual fractions:
= (3 x 88)/88 + 36/88

step 4 Simplify the above expression:
= 3 x 88/88 + 36/88
= 3 + 36/88
= 3 + 9 x 4/22 x 4
= 3 + 9/22
3 + 9/22 can be written as a mixed number 3 ⁹/₂₂.


step 5 Find the decimal equivalent for the fractional part 9/22 in the above expression:
= 3 + 0.4091
= 3.4091
300/88 = 3.4091

Hence,
300/88 as a decimal is 3.4091
300/88 as a mixed number is 3 ⁹/₂₂