162/42 as a Decimal and Mixed Number

162/42 as a decimal and mixed number expansion provides the detailed information about what is 162/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

162/42 as a Decimal
162/42 = 3.8571
Hence,
162/42 as a decimal equals to 3.8571
where,
162/42 is a given fraction,
The decimal expansion of 162/42 is 3.8571

162/42 as a Mixed Number
162/42 = (126 + 36)/42
= 126/42 + 36/42
= 3 + 36/42
= 3 36/42
162/42 = 3 36/42

Hence,
162/42 as a mixed number is 3 ³⁶/₄₂
where,
162/42 is a given fraction,
3 ³⁶/₄₂ is the mixed number representation of 162/42.

The below work with steps provide the detailed information about how to convert fraction 162/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 162/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 162/42.

step 2 The numerator is greater than the denominator of the fraction 162/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 162/42
= 126 + 36/42
= (3 x 42) + 36/42

step 3 Make the above expression as individual fractions:
= (3 x 42)/42 + 36/42

step 4 Simplify the above expression:
= 3 x 42/42 + 36/42
= 3 + 36/42
= 3 + 6 x 6/7 x 6
= 3 + 6/7
3 + 6/7 can be written as a mixed number 3 ⁶/₇.


step 5 Find the decimal equivalent for the fractional part 6/7 in the above expression:
= 3 + 0.8571
= 3.8571
162/42 = 3.8571

Hence,
162/42 as a decimal is 3.8571
162/42 as a mixed number is 3 ⁶/₇