168/40 as a Decimal and Mixed Number

168/40 as a decimal and mixed number expansion provides the detailed information about what is 168/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

168/40 as a Decimal
168/40 = 4.2
Hence,
168/40 as a decimal equals to 4.2
where,
168/40 is a given fraction,
The decimal expansion of 168/40 is 4.2

168/40 as a Mixed Number
168/40 = (160 + 8)/40
= 160/40 + 8/40
= 4 + 8/40
= 4 8/40
168/40 = 4 8/40

Hence,
168/40 as a mixed number is 4 ⁸/₄₀
where,
168/40 is a given fraction,
4 ⁸/₄₀ is the mixed number representation of 168/40.

The below work with steps provide the detailed information about how to convert fraction 168/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 168/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 168/40.

step 2 The numerator is greater than the denominator of the fraction 168/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 168/40
= 160 + 8/40
= (4 x 40) + 8/40

step 3 Make the above expression as individual fractions:
= (4 x 40)/40 + 8/40

step 4 Simplify the above expression:
= 4 x 40/40 + 8/40
= 4 + 8/40
= 4 + 1 x 8/5 x 8
= 4 + 1/5
4 + 1/5 can be written as a mixed number 4 ¹/₅.


step 5 Find the decimal equivalent for the fractional part 1/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 4 + (1/5 x 2/2)
= 4 + 2/10

step 6 Simplify the above expression further:
= 4 + 0.2
= 4.2
168/40 = 4.2

Hence,
168/40 as a decimal is 4.2
168/40 as a mixed number is 4 ¹/₅