76/42 as a Decimal and Mixed Number

76/42 as a decimal and mixed number expansion provides the detailed information about what is 76/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

76/42 as a Decimal
76/42 = 1.8095
Hence,
76/42 as a decimal equals to 1.8095
where,
76/42 is a given fraction,
The decimal expansion of 76/42 is 1.8095

76/42 as a Mixed Number
76/42 = (42 + 34)/42
= 42/42 + 34/42
= 1 + 34/42
= 1 34/42
76/42 = 1 34/42

Hence,
76/42 as a mixed number is 1 ³⁴/₄₂
where,
76/42 is a given fraction,
1 ³⁴/₄₂ is the mixed number representation of 76/42.

The below work with steps provide the detailed information about how to convert fraction 76/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 76/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 76/42.

step 2 The numerator is greater than the denominator of the fraction 76/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 76/42
= 42 + 34/42

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

step 4 Simplify the above expression:
= 1 x 42/42 + 34/42
= 1 + 34/42
= 1 + 17 x 2/21 x 2
= 1 + 17/21
1 + 17/21 can be written as a mixed number 1 ¹⁷/₂₁.


step 5 Find the decimal equivalent for the fractional part 17/21 in the above expression:
= 1 + 0.8095
= 1.8095
76/42 = 1.8095

Hence,
76/42 as a decimal is 1.8095
76/42 as a mixed number is 1 ¹⁷/₂₁