357/136 as a Decimal and Mixed Number

357/136 as a decimal and mixed number expansion provides the detailed information about what is 357/136 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

357/136 as a Decimal
357/136 = 2.625
Hence,
357/136 as a decimal equals to 2.625
where,
357/136 is a given fraction,
The decimal expansion of 357/136 is 2.625

357/136 as a Mixed Number
357/136 = (272 + 85)/136
= 272/136 + 85/136
= 2 + 85/136
= 2 85/136
357/136 = 2 85/136

Hence,
357/136 as a mixed number is 2 ⁸⁵/₁₃₆
where,
357/136 is a given fraction,
2 ⁸⁵/₁₃₆ is the mixed number representation of 357/136.

The below work with steps provide the detailed information about how to convert fraction 357/136 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 357/136

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 357/136.

step 2 The numerator is greater than the denominator of the fraction 357/136, so write the given fraction in the expression form in terms of denominator as like the below:
= 357/136
= 272 + 85/136
= (2 x 136) + 85/136

step 3 Make the above expression as individual fractions:
= (2 x 136)/136 + 85/136

step 4 Simplify the above expression:
= 2 x 136/136 + 85/136
= 2 + 85/136
= 2 + 5 x 17/8 x 17
= 2 + 5/8
2 + 5/8 can be written as a mixed number 2 ⁵/₈.


step 5 Find the decimal equivalent for the fractional part 5/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 2 + (5/8 x 125/125)
= 2 + 625/1000

step 6 Simplify the above expression further:
= 2 + 0.625
= 2.625
357/136 = 2.625

Hence,
357/136 as a decimal is 2.625
357/136 as a mixed number is 2 ⁵/₈