140/64 as a Decimal and Mixed Number

140/64 as a decimal and mixed number expansion provides the detailed information about what is 140/64 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

140/64 as a Decimal
140/64 = 2.1875
Hence,
140/64 as a decimal equals to 2.1875
where,
140/64 is a given fraction,
The decimal expansion of 140/64 is 2.1875

140/64 as a Mixed Number
140/64 = (128 + 12)/64
= 128/64 + 12/64
= 2 + 12/64
= 2 12/64
140/64 = 2 12/64

Hence,
140/64 as a mixed number is 2 ¹²/₆₄
where,
140/64 is a given fraction,
2 ¹²/₆₄ is the mixed number representation of 140/64.

The below work with steps provide the detailed information about how to convert fraction 140/64 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 140/64

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 140/64.

step 2 The numerator is greater than the denominator of the fraction 140/64, so write the given fraction in the expression form in terms of denominator as like the below:
= 140/64
= 128 + 12/64
= (2 x 64) + 12/64

step 3 Make the above expression as individual fractions:
= (2 x 64)/64 + 12/64

step 4 Simplify the above expression:
= 2 x 64/64 + 12/64
= 2 + 12/64
= 2 + 3 x 4/16 x 4
= 2 + 3/16
2 + 3/16 can be written as a mixed number 2 ³/₁₆.


step 5 Find the decimal equivalent for the fractional part 3/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 2 + (3/16 x 625/625)
= 2 + 1875/10000

step 6 Simplify the above expression further:
= 2 + 0.1875
= 2.1875
140/64 = 2.1875

Hence,
140/64 as a decimal is 2.1875
140/64 as a mixed number is 2 ³/₁₆