167/121 as a Decimal and Mixed Number

167/121 as a decimal and mixed number expansion provides the detailed information about what is 167/121 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

167/121 as a Decimal
167/121 = 1.3802
Hence,
167/121 as a decimal equals to 1.3802
where,
167/121 is a given fraction,
The decimal expansion of 167/121 is 1.3802

167/121 as a Mixed Number
167/121 = (121 + 46)/121
= 121/121 + 46/121
= 1 + 46/121
= 1 46/121
167/121 = 1 46/121

Hence,
167/121 as a mixed number is 1 ⁴⁶/₁₂₁
where,
167/121 is a given fraction,
1 ⁴⁶/₁₂₁ is the mixed number representation of 167/121.

The below work with steps provide the detailed information about how to convert fraction 167/121 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 167/121

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 167/121.

step 2 The numerator is greater than the denominator of the fraction 167/121, so write the given fraction in the expression form in terms of denominator as like the below:
= 167/121
= 121 + 46/121

step 3 Make the above expression as individual fractions:
= 121/121 + 46/121

step 4 Simplify the above expression:
= 1 x 121/121 + 46/121
= 1 + 46/121
1 + 46/121 can be written as a mixed number 1 ⁴⁶/₁₂₁.


step 5 Find the decimal equivalent for the fractional part 46/121 in the above expression:
= 1 + 0.3802
= 1.3802
167/121 = 1.3802

Hence,
167/121 as a decimal is 1.3802
167/121 as a mixed number is 1 ⁴⁶/₁₂₁