160/112 as a Decimal and Mixed Number

160/112 as a decimal and mixed number expansion provides the detailed information about what is 160/112 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

160/112 as a Decimal
160/112 = 1.4286
Hence,
160/112 as a decimal equals to 1.4286
where,
160/112 is a given fraction,
The decimal expansion of 160/112 is 1.4286

160/112 as a Mixed Number
160/112 = (112 + 48)/112
= 112/112 + 48/112
= 1 + 48/112
= 1 48/112
160/112 = 1 48/112

Hence,
160/112 as a mixed number is 1 ⁴⁸/₁₁₂
where,
160/112 is a given fraction,
1 ⁴⁸/₁₁₂ is the mixed number representation of 160/112.

The below work with steps provide the detailed information about how to convert fraction 160/112 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 160/112

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 160/112.

step 2 The numerator is greater than the denominator of the fraction 160/112, so write the given fraction in the expression form in terms of denominator as like the below:
= 160/112
= 112 + 48/112

step 3 Make the above expression as individual fractions:
= 112/112 + 48/112

step 4 Simplify the above expression:
= 1 x 112/112 + 48/112
= 1 + 48/112
= 1 + 3 x 16/7 x 16
= 1 + 3/7
1 + 3/7 can be written as a mixed number 1 ³/₇.


step 5 Find the decimal equivalent for the fractional part 3/7 in the above expression:
= 1 + 0.4286
= 1.4286
160/112 = 1.4286

Hence,
160/112 as a decimal is 1.4286
160/112 as a mixed number is 1 ³/₇