200/128 as a Decimal and Mixed Number

200/128 as a decimal and mixed number expansion provides the detailed information about what is 200/128 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

200/128 as a Decimal
200/128 = 1.5625
Hence,
200/128 as a decimal equals to 1.5625
where,
200/128 is a given fraction,
The decimal expansion of 200/128 is 1.5625

200/128 as a Mixed Number
200/128 = (128 + 72)/128
= 128/128 + 72/128
= 1 + 72/128
= 1 72/128
200/128 = 1 72/128

Hence,
200/128 as a mixed number is 1 ⁷²/₁₂₈
where,
200/128 is a given fraction,
1 ⁷²/₁₂₈ is the mixed number representation of 200/128.

The below work with steps provide the detailed information about how to convert fraction 200/128 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 200/128

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 200/128.

step 2 The numerator is greater than the denominator of the fraction 200/128, so write the given fraction in the expression form in terms of denominator as like the below:
= 200/128
= 128 + 72/128

step 3 Make the above expression as individual fractions:
= 128/128 + 72/128

step 4 Simplify the above expression:
= 1 x 128/128 + 72/128
= 1 + 72/128
= 1 + 9 x 8/16 x 8
= 1 + 9/16
1 + 9/16 can be written as a mixed number 1 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:
= 1 + (9/16 x 625/625)
= 1 + 5625/10000

step 6 Simplify the above expression further:
= 1 + 0.5625
= 1.5625
200/128 = 1.5625

Hence,
200/128 as a decimal is 1.5625
200/128 as a mixed number is 1 ⁹/₁₆