116/42 as a Decimal and Mixed Number

116/42 as a decimal and mixed number expansion provides the detailed information about what is 116/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

116/42 as a Decimal
116/42 = 2.7619
Hence,
116/42 as a decimal equals to 2.7619
where,
116/42 is a given fraction,
The decimal expansion of 116/42 is 2.7619

116/42 as a Mixed Number
116/42 = (84 + 32)/42
= 84/42 + 32/42
= 2 + 32/42
= 2 32/42
116/42 = 2 32/42

Hence,
116/42 as a mixed number is 2 ³²/₄₂
where,
116/42 is a given fraction,
2 ³²/₄₂ is the mixed number representation of 116/42.

The below work with steps provide the detailed information about how to convert fraction 116/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 116/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 116/42.

step 2 The numerator is greater than the denominator of the fraction 116/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 116/42
= 84 + 32/42
= (2 x 42) + 32/42

step 3 Make the above expression as individual fractions:
= (2 x 42)/42 + 32/42

step 4 Simplify the above expression:
= 2 x 42/42 + 32/42
= 2 + 32/42
= 2 + 16 x 2/21 x 2
= 2 + 16/21
2 + 16/21 can be written as a mixed number 2 ¹⁶/₂₁.


step 5 Find the decimal equivalent for the fractional part 16/21 in the above expression:
= 2 + 0.7619
= 2.7619
116/42 = 2.7619

Hence,
116/42 as a decimal is 2.7619
116/42 as a mixed number is 2 ¹⁶/₂₁