164/64 as a Decimal and Mixed Number
164/64 as a decimal and mixed number expansion provides the detailed information about what is 164/64 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
164/64 as a Decimal
164/64 = 2.5625
Hence,
164/64 as a decimal equals to 2.5625
where,
164/64 is a given fraction,
The decimal expansion of 164/64 is 2.5625
164/64 as a Mixed Number
164/64 = (128 + 36)/64
= 128/64 + 36/64
= 2 + 36/64
= 2 36/64
164/64 = 2 36/64
Hence,
164/64 as a mixed number is 2 36/64
where,
164/64 is a given fraction,
2 36/64 is the mixed number representation of 164/64.
How-to: 164/64 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 164/64 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 164/64
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 164/64.
step 2 The numerator is greater than the denominator of the fraction 164/64, so write the given fraction in the expression form in terms of denominator as like the below:
= 164/64
= 128 + 36/64
= (2 x 64) + 36/64
step 3 Make the above expression as individual fractions:
= (2 x 64)/64 + 36/64
step 4 Simplify the above expression:
= 2 x 64/64 + 36/64
= 2 + 36/64
= 2 + 9 x 4/16 x 4
= 2 + 9/16
2 + 9/16 can be written as a mixed number 2 9/16.
step 5 Find the decimal equivalent for the fractional part 9/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 2 + (9/16 x 625/625)
= 2 + 5625/10000
step 6 Simplify the above expression further:
= 2 + 0.5625
= 2.5625
164/64 = 2.5625
Hence,
164/64 as a decimal is 2.5625
164/64 as a mixed number is 2 9/16