224/64 as a Decimal and Mixed Number

224/64 as a decimal and mixed number expansion provides the detailed information about what is 224/64 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

224/64 as a Decimal
224/64 = 3.5
Hence,
224/64 as a decimal equals to 3.5
where,
224/64 is a given fraction,
The decimal expansion of 224/64 is 3.5

224/64 as a Mixed Number
224/64 = (192 + 32)/64
= 192/64 + 32/64
= 3 + 32/64
= 3 32/64
224/64 = 3 32/64

Hence,
224/64 as a mixed number is 3 ³²/₆₄
where,
224/64 is a given fraction,
3 ³²/₆₄ is the mixed number representation of 224/64.

The below work with steps provide the detailed information about how to convert fraction 224/64 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 224/64

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 224/64.

step 2 The numerator is greater than the denominator of the fraction 224/64, so write the given fraction in the expression form in terms of denominator as like the below:
= 224/64
= 192 + 32/64
= (3 x 64) + 32/64

step 3 Make the above expression as individual fractions:
= (3 x 64)/64 + 32/64

step 4 Simplify the above expression:
= 3 x 64/64 + 32/64
= 3 + 32/64
= 3 + 1 x 32/2 x 32
= 3 + 1/2
3 + 1/2 can be written as a mixed number 3 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 3 + (1/2 x 5/5)
= 3 + 5/10

step 6 Simplify the above expression further:
= 3 + 0.5
= 3.5
224/64 = 3.5

Hence,
224/64 as a decimal is 3.5
224/64 as a mixed number is 3 ¹/₂