189/112 as a Decimal and Mixed Number

189/112 as a decimal and mixed number expansion provides the detailed information about what is 189/112 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

189/112 as a Decimal
189/112 = 1.6875
Hence,
189/112 as a decimal equals to 1.6875
where,
189/112 is a given fraction,
The decimal expansion of 189/112 is 1.6875

189/112 as a Mixed Number
189/112 = (112 + 77)/112
= 112/112 + 77/112
= 1 + 77/112
= 1 77/112
189/112 = 1 77/112

Hence,
189/112 as a mixed number is 1 ⁷⁷/₁₁₂
where,
189/112 is a given fraction,
1 ⁷⁷/₁₁₂ is the mixed number representation of 189/112.

The below work with steps provide the detailed information about how to convert fraction 189/112 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 189/112

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 189/112.

step 2 The numerator is greater than the denominator of the fraction 189/112, so write the given fraction in the expression form in terms of denominator as like the below:
= 189/112
= 112 + 77/112

step 3 Make the above expression as individual fractions:
= 112/112 + 77/112

step 4 Simplify the above expression:
= 1 x 112/112 + 77/112
= 1 + 77/112
= 1 + 11 x 7/16 x 7
= 1 + 11/16
1 + 11/16 can be written as a mixed number 1 ¹¹/₁₆.


step 5 Find the decimal equivalent for the fractional part 11/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 1 + (11/16 x 625/625)
= 1 + 6875/10000

step 6 Simplify the above expression further:
= 1 + 0.6875
= 1.6875
189/112 = 1.6875

Hence,
189/112 as a decimal is 1.6875
189/112 as a mixed number is 1 ¹¹/₁₆