238/112 as a Decimal and Mixed Number

238/112 as a decimal and mixed number expansion provides the detailed information about what is 238/112 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

238/112 as a Decimal
238/112 = 2.125
Hence,
238/112 as a decimal equals to 2.125
where,
238/112 is a given fraction,
The decimal expansion of 238/112 is 2.125

238/112 as a Mixed Number
238/112 = (224 + 14)/112
= 224/112 + 14/112
= 2 + 14/112
= 2 14/112
238/112 = 2 14/112

Hence,
238/112 as a mixed number is 2 ¹⁴/₁₁₂
where,
238/112 is a given fraction,
2 ¹⁴/₁₁₂ is the mixed number representation of 238/112.

The below work with steps provide the detailed information about how to convert fraction 238/112 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 238/112

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 238/112.

step 2 The numerator is greater than the denominator of the fraction 238/112, so write the given fraction in the expression form in terms of denominator as like the below:
= 238/112
= 224 + 14/112
= (2 x 112) + 14/112

step 3 Make the above expression as individual fractions:
= (2 x 112)/112 + 14/112

step 4 Simplify the above expression:
= 2 x 112/112 + 14/112
= 2 + 14/112
= 2 + 1 x 14/8 x 14
= 2 + 1/8
2 + 1/8 can be written as a mixed number 2 ¹/₈.


step 5 Find the decimal equivalent for the fractional part 1/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 2 + (1/8 x 125/125)
= 2 + 125/1000

step 6 Simplify the above expression further:
= 2 + 0.125
= 2.125
238/112 = 2.125

Hence,
238/112 as a decimal is 2.125
238/112 as a mixed number is 2 ¹/₈