342/64 as a Decimal and Mixed Number

342/64 as a decimal and mixed number expansion provides the detailed information about what is 342/64 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

342/64 as a Decimal
342/64 = 5.3438
Hence,
342/64 as a decimal equals to 5.3438
where,
342/64 is a given fraction,
The decimal expansion of 342/64 is 5.3438

342/64 as a Mixed Number
342/64 = (320 + 22)/64
= 320/64 + 22/64
= 5 + 22/64
= 5 22/64
342/64 = 5 22/64

Hence,
342/64 as a mixed number is 5 ²²/₆₄
where,
342/64 is a given fraction,
5 ²²/₆₄ is the mixed number representation of 342/64.

The below work with steps provide the detailed information about how to convert fraction 342/64 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 342/64

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 342/64.

step 2 The numerator is greater than the denominator of the fraction 342/64, so write the given fraction in the expression form in terms of denominator as like the below:
= 342/64
= 320 + 22/64
= (5 x 64) + 22/64

step 3 Make the above expression as individual fractions:
= (5 x 64)/64 + 22/64

step 4 Simplify the above expression:
= 5 x 64/64 + 22/64
= 5 + 22/64
= 5 + 11 x 2/32 x 2
= 5 + 11/32
5 + 11/32 can be written as a mixed number 5 ¹¹/₃₂.


step 5 Find the decimal equivalent for the fractional part 11/32 in the above expression:
Multiply both numerator and denominator by 3125 to make the denominator as powers of 10:
= 5 + (11/32 x 3125/3125)
= 5 + 34375/100000

step 6 Simplify the above expression further:
= 5 + 0.34375
= 5.34375
342/64 = 5.34375

Hence,
342/64 as a decimal is 5.34375
342/64 as a mixed number is 5 ¹¹/₃₂