342/135 as a Decimal and Mixed Number

342/135 as a decimal and mixed number expansion provides the detailed information about what is 342/135 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

342/135 as a Decimal
342/135 = 2.5333
Hence,
342/135 as a decimal equals to 2.5333
where,
342/135 is a given fraction,
The decimal expansion of 342/135 is 2.5333

342/135 as a Mixed Number
342/135 = (270 + 72)/135
= 270/135 + 72/135
= 2 + 72/135
= 2 72/135
342/135 = 2 72/135

Hence,
342/135 as a mixed number is 2 ⁷²/₁₃₅
where,
342/135 is a given fraction,
2 ⁷²/₁₃₅ is the mixed number representation of 342/135.

The below work with steps provide the detailed information about how to convert fraction 342/135 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 342/135

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 342/135.

step 2 The numerator is greater than the denominator of the fraction 342/135, so write the given fraction in the expression form in terms of denominator as like the below:
= 342/135
= 270 + 72/135
= (2 x 135) + 72/135

step 3 Make the above expression as individual fractions:
= (2 x 135)/135 + 72/135

step 4 Simplify the above expression:
= 2 x 135/135 + 72/135
= 2 + 72/135
= 2 + 8 x 9/15 x 9
= 2 + 8/15
2 + 8/15 can be written as a mixed number 2 ⁸/₁₅.


step 5 Find the decimal equivalent for the fractional part 8/15 in the above expression:
= 2 + 0.5333
= 2.5333
342/135 = 2.5333

Hence,
342/135 as a decimal is 2.5333
342/135 as a mixed number is 2 ⁸/₁₅