357/35 as a Decimal and Mixed Number

357/35 as a decimal and mixed number expansion provides the detailed information about what is 357/35 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

357/35 as a Decimal
357/35 = 10.2
Hence,
357/35 as a decimal equals to 10.2
where,
357/35 is a given fraction,
The decimal expansion of 357/35 is 10.2

357/35 as a Mixed Number
357/35 = (350 + 7)/35
= 350/35 + 7/35
= 10 + 7/35
= 10 7/35
357/35 = 10 7/35

Hence,
357/35 as a mixed number is 10 ⁷/₃₅
where,
357/35 is a given fraction,
10 ⁷/₃₅ is the mixed number representation of 357/35.

The below work with steps provide the detailed information about how to convert fraction 357/35 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 357/35

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 357/35.

step 2 The numerator is greater than the denominator of the fraction 357/35, so write the given fraction in the expression form in terms of denominator as like the below:
= 357/35
= 350 + 7/35
= (10 x 35) + 7/35

step 3 Make the above expression as individual fractions:
= (10 x 35)/35 + 7/35

step 4 Simplify the above expression:
= 10 x 35/35 + 7/35
= 10 + 7/35
= 10 + 1 x 7/5 x 7
= 10 + 1/5
10 + 1/5 can be written as a mixed number 10 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:
= 10 + (1/5 x 2/2)
= 10 + 2/10

step 6 Simplify the above expression further:
= 10 + 0.2
= 10.2
357/35 = 10.2

Hence,
357/35 as a decimal is 10.2
357/35 as a mixed number is 10 ¹/₅