77/42 as a Decimal and Mixed Number

77/42 as a decimal and mixed number expansion provides the detailed information about what is 77/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

77/42 as a Decimal
77/42 = 1.8333
Hence,
77/42 as a decimal equals to 1.8333
where,
77/42 is a given fraction,
The decimal expansion of 77/42 is 1.8333

77/42 as a Mixed Number
77/42 = (42 + 35)/42
= 42/42 + 35/42
= 1 + 35/42
= 1 35/42
77/42 = 1 35/42

Hence,
77/42 as a mixed number is 1 ³⁵/₄₂
where,
77/42 is a given fraction,
1 ³⁵/₄₂ is the mixed number representation of 77/42.

The below work with steps provide the detailed information about how to convert fraction 77/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 77/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 77/42.

step 2 The numerator is greater than the denominator of the fraction 77/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 77/42
= 42 + 35/42

step 3 Make the above expression as individual fractions:
= 42/42 + 35/42

step 4 Simplify the above expression:
= 1 x 42/42 + 35/42
= 1 + 35/42
= 1 + 5 x 7/6 x 7
= 1 + 5/6
1 + 5/6 can be written as a mixed number 1 ⁵/₆.


step 5 Find the decimal equivalent for the fractional part 5/6 in the above expression:
= 1 + 0.8333
= 1.8333
77/42 = 1.8333

Hence,
77/42 as a decimal is 1.8333
77/42 as a mixed number is 1 ⁵/₆