77/21 as a Decimal and Mixed Number

77/21 as a decimal and mixed number expansion provides the detailed information about what is 77/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

77/21 as a Decimal
77/21 = 3.6667
Hence,
77/21 as a decimal equals to 3.6667
where,
77/21 is a given fraction,
The decimal expansion of 77/21 is 3.6667

77/21 as a Mixed Number
77/21 = (63 + 14)/21
= 63/21 + 14/21
= 3 + 14/21
= 3 14/21
77/21 = 3 14/21

Hence,
77/21 as a mixed number is 3 ¹⁴/₂₁
where,
77/21 is a given fraction,
3 ¹⁴/₂₁ is the mixed number representation of 77/21.

The below work with steps provide the detailed information about how to convert fraction 77/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 77/21

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 77/21.

step 2 The numerator is greater than the denominator of the fraction 77/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 77/21
= 63 + 14/21
= (3 x 21) + 14/21

step 3 Make the above expression as individual fractions:
= (3 x 21)/21 + 14/21

step 4 Simplify the above expression:
= 3 x 21/21 + 14/21
= 3 + 14/21
= 3 + 2 x 7/3 x 7
= 3 + 2/3
3 + 2/3 can be written as a mixed number 3 ²/₃.


step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 3 + 0.6667
= 3.6667
77/21 = 3.6667

Hence,
77/21 as a decimal is 3.6667
77/21 as a mixed number is 3 ²/₃