252/35 as a Decimal and Mixed Number

252/35 as a decimal and mixed number expansion provides the detailed information about what is 252/35 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

252/35 as a Decimal
252/35 = 7.2
Hence,
252/35 as a decimal equals to 7.2
where,
252/35 is a given fraction,
The decimal expansion of 252/35 is 7.2

252/35 as a Mixed Number
252/35 = (245 + 7)/35
= 245/35 + 7/35
= 7 + 7/35
= 7 7/35
252/35 = 7 7/35

Hence,
252/35 as a mixed number is 7 ⁷/₃₅
where,
252/35 is a given fraction,
7 ⁷/₃₅ is the mixed number representation of 252/35.

The below work with steps provide the detailed information about how to convert fraction 252/35 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 252/35

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 252/35.

step 2 The numerator is greater than the denominator of the fraction 252/35, so write the given fraction in the expression form in terms of denominator as like the below:
= 252/35
= 245 + 7/35
= (7 x 35) + 7/35

step 3 Make the above expression as individual fractions:
= (7 x 35)/35 + 7/35

step 4 Simplify the above expression:
= 7 x 35/35 + 7/35
= 7 + 7/35
= 7 + 1 x 7/5 x 7
= 7 + 1/5
7 + 1/5 can be written as a mixed number 7 ¹/₅.


step 5 Find the decimal equivalent for the fractional part 1/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 7 + (1/5 x 2/2)
= 7 + 2/10

step 6 Simplify the above expression further:
= 7 + 0.2
= 7.2
252/35 = 7.2

Hence,
252/35 as a decimal is 7.2
252/35 as a mixed number is 7 ¹/₅