336/64 as a Decimal and Mixed Number

336/64 as a decimal and mixed number expansion provides the detailed information about what is 336/64 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

336/64 as a Decimal
336/64 = 5.25
Hence,
336/64 as a decimal equals to 5.25
where,
336/64 is a given fraction,
The decimal expansion of 336/64 is 5.25

336/64 as a Mixed Number
336/64 = (320 + 16)/64
= 320/64 + 16/64
= 5 + 16/64
= 5 16/64
336/64 = 5 16/64

Hence,
336/64 as a mixed number is 5 ¹⁶/₆₄
where,
336/64 is a given fraction,
5 ¹⁶/₆₄ is the mixed number representation of 336/64.

The below work with steps provide the detailed information about how to convert fraction 336/64 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 336/64

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 336/64.

step 2 The numerator is greater than the denominator of the fraction 336/64, so write the given fraction in the expression form in terms of denominator as like the below:
= 336/64
= 320 + 16/64
= (5 x 64) + 16/64

step 3 Make the above expression as individual fractions:
= (5 x 64)/64 + 16/64

step 4 Simplify the above expression:
= 5 x 64/64 + 16/64
= 5 + 16/64
= 5 + 1 x 16/4 x 16
= 5 + 1/4
5 + 1/4 can be written as a mixed number 5 ¹/₄.


step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 5 + (1/4 x 25/25)
= 5 + 25/100

step 6 Simplify the above expression further:
= 5 + 0.25
= 5.25
336/64 = 5.25

Hence,
336/64 as a decimal is 5.25
336/64 as a mixed number is 5 ¹/₄