167/45 as a Decimal and Mixed Number

167/45 as a decimal and mixed number expansion provides the detailed information about what is 167/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

167/45 as a Decimal
167/45 = 3.7111
Hence,
167/45 as a decimal equals to 3.7111
where,
167/45 is a given fraction,
The decimal expansion of 167/45 is 3.7111

167/45 as a Mixed Number
167/45 = (135 + 32)/45
= 135/45 + 32/45
= 3 + 32/45
= 3 32/45
167/45 = 3 32/45

Hence,
167/45 as a mixed number is 3 ³²/₄₅
where,
167/45 is a given fraction,
3 ³²/₄₅ is the mixed number representation of 167/45.

The below work with steps provide the detailed information about how to convert fraction 167/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 167/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 167/45.

step 2 The numerator is greater than the denominator of the fraction 167/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 167/45
= 135 + 32/45
= (3 x 45) + 32/45

step 3 Make the above expression as individual fractions:
= (3 x 45)/45 + 32/45

step 4 Simplify the above expression:
= 3 x 45/45 + 32/45
= 3 + 32/45
3 + 32/45 can be written as a mixed number 3 ³²/₄₅.


step 5 Find the decimal equivalent for the fractional part 32/45 in the above expression:
= 3 + 0.7111
= 3.7111
167/45 = 3.7111

Hence,
167/45 as a decimal is 3.7111
167/45 as a mixed number is 3 ³²/₄₅