113/112 as a Decimal and Mixed Number

113/112 as a decimal and mixed number expansion provides the detailed information about what is 113/112 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

113/112 as a Decimal
113/112 = 1.0089
Hence,
113/112 as a decimal equals to 1.0089
where,
113/112 is a given fraction,
The decimal expansion of 113/112 is 1.0089

113/112 as a Mixed Number
113/112 = (112 + 1)/112
= 112/112 + 1/112
= 1 + 1/112
= 1 1/112
113/112 = 1 1/112

Hence,
113/112 as a mixed number is 1 ¹/₁₁₂
where,
113/112 is a given fraction,
1 ¹/₁₁₂ is the mixed number representation of 113/112.

The below work with steps provide the detailed information about how to convert fraction 113/112 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 113/112

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 113/112.

step 2 The numerator is greater than the denominator of the fraction 113/112, so write the given fraction in the expression form in terms of denominator as like the below:
= 113/112
= 112 + 1/112

step 3 Make the above expression as individual fractions:
= 112/112 + 1/112

step 4 Simplify the above expression:
= 1 + 1/112
1 + 1/112 can be written as a mixed number 1 ¹/₁₁₂


step 5 Find the decimal equivalent for the fractional part 1/112 in the above expression:
= 1 + 0.0089
= 1.0089
113/112 = 1.0089

Hence,
113/112 as a decimal is 1.0089
113/112 as a mixed number is 1 ¹/₁₁₂