77/46 as a Decimal and Mixed Number

77/46 as a decimal and mixed number expansion provides the detailed information about what is 77/46 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

77/46 as a Decimal
77/46 = 1.6739
Hence,
77/46 as a decimal equals to 1.6739
where,
77/46 is a given fraction,
The decimal expansion of 77/46 is 1.6739

77/46 as a Mixed Number
77/46 = (46 + 31)/46
= 46/46 + 31/46
= 1 + 31/46
= 1 31/46
77/46 = 1 31/46

Hence,
77/46 as a mixed number is 1 ³¹/₄₆
where,
77/46 is a given fraction,
1 ³¹/₄₆ is the mixed number representation of 77/46.

The below work with steps provide the detailed information about how to convert fraction 77/46 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 77/46

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 77/46.

step 2 The numerator is greater than the denominator of the fraction 77/46, so write the given fraction in the expression form in terms of denominator as like the below:
= 77/46
= 46 + 31/46

step 3 Make the above expression as individual fractions:
= 46/46 + 31/46

step 4 Simplify the above expression:
= 1 x 46/46 + 31/46
= 1 + 31/46
1 + 31/46 can be written as a mixed number 1 ³¹/₄₆.


step 5 Find the decimal equivalent for the fractional part 31/46 in the above expression:
= 1 + 0.6739
= 1.6739
77/46 = 1.6739

Hence,
77/46 as a decimal is 1.6739
77/46 as a mixed number is 1 ³¹/₄₆