168/45 as a Decimal and Mixed Number

168/45 as a decimal and mixed number expansion provides the detailed information about what is 168/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

168/45 as a Decimal
168/45 = 3.7333
Hence,
168/45 as a decimal equals to 3.7333
where,
168/45 is a given fraction,
The decimal expansion of 168/45 is 3.7333

168/45 as a Mixed Number
168/45 = (135 + 33)/45
= 135/45 + 33/45
= 3 + 33/45
= 3 33/45
168/45 = 3 33/45

Hence,
168/45 as a mixed number is 3 ³³/₄₅
where,
168/45 is a given fraction,
3 ³³/₄₅ is the mixed number representation of 168/45.

The below work with steps provide the detailed information about how to convert fraction 168/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 168/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 168/45.

step 2 The numerator is greater than the denominator of the fraction 168/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 168/45
= 135 + 33/45
= (3 x 45) + 33/45

step 3 Make the above expression as individual fractions:
= (3 x 45)/45 + 33/45

step 4 Simplify the above expression:
= 3 x 45/45 + 33/45
= 3 + 33/45
= 3 + 11 x 3/15 x 3
= 3 + 11/15
3 + 11/15 can be written as a mixed number 3 ¹¹/₁₅.


step 5 Find the decimal equivalent for the fractional part 11/15 in the above expression:
= 3 + 0.7333
= 3.7333
168/45 = 3.7333

Hence,
168/45 as a decimal is 3.7333
168/45 as a mixed number is 3 ¹¹/₁₅