160/42 as a Decimal and Mixed Number

160/42 as a decimal and mixed number expansion provides the detailed information about what is 160/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

160/42 as a Decimal
160/42 = 3.8095
Hence,
160/42 as a decimal equals to 3.8095
where,
160/42 is a given fraction,
The decimal expansion of 160/42 is 3.8095

160/42 as a Mixed Number
160/42 = (126 + 34)/42
= 126/42 + 34/42
= 3 + 34/42
= 3 34/42
160/42 = 3 34/42

Hence,
160/42 as a mixed number is 3 ³⁴/₄₂
where,
160/42 is a given fraction,
3 ³⁴/₄₂ is the mixed number representation of 160/42.

The below work with steps provide the detailed information about how to convert fraction 160/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 160/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 160/42.

step 2 The numerator is greater than the denominator of the fraction 160/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 160/42
= 126 + 34/42
= (3 x 42) + 34/42

step 3 Make the above expression as individual fractions:
= (3 x 42)/42 + 34/42

step 4 Simplify the above expression:
= 3 x 42/42 + 34/42
= 3 + 34/42
= 3 + 17 x 2/21 x 2
= 3 + 17/21
3 + 17/21 can be written as a mixed number 3 ¹⁷/₂₁.


step 5 Find the decimal equivalent for the fractional part 17/21 in the above expression:
= 3 + 0.8095
= 3.8095
160/42 = 3.8095

Hence,
160/42 as a decimal is 3.8095
160/42 as a mixed number is 3 ¹⁷/₂₁