344/64 as a Decimal and Mixed Number

344/64 as a decimal and mixed number expansion provides the detailed information about what is 344/64 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

344/64 as a Decimal
344/64 = 5.375
Hence,
344/64 as a decimal equals to 5.375
where,
344/64 is a given fraction,
The decimal expansion of 344/64 is 5.375

344/64 as a Mixed Number
344/64 = (320 + 24)/64
= 320/64 + 24/64
= 5 + 24/64
= 5 24/64
344/64 = 5 24/64

Hence,
344/64 as a mixed number is 5 ²⁴/₆₄
where,
344/64 is a given fraction,
5 ²⁴/₆₄ is the mixed number representation of 344/64.

The below work with steps provide the detailed information about how to convert fraction 344/64 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 344/64

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 344/64.

step 2 The numerator is greater than the denominator of the fraction 344/64, so write the given fraction in the expression form in terms of denominator as like the below:
= 344/64
= 320 + 24/64
= (5 x 64) + 24/64

step 3 Make the above expression as individual fractions:
= (5 x 64)/64 + 24/64

step 4 Simplify the above expression:
= 5 x 64/64 + 24/64
= 5 + 24/64
= 5 + 3 x 8/8 x 8
= 5 + 3/8
5 + 3/8 can be written as a mixed number 5 ³/₈.


step 5 Find the decimal equivalent for the fractional part 3/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 5 + (3/8 x 125/125)
= 5 + 375/1000

step 6 Simplify the above expression further:
= 5 + 0.375
= 5.375
344/64 = 5.375

Hence,
344/64 as a decimal is 5.375
344/64 as a mixed number is 5 ³/₈