78/21 as a Decimal and Mixed Number

78/21 as a decimal and mixed number expansion provides the detailed information about what is 78/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

78/21 as a Decimal
78/21 = 3.7143
Hence,
78/21 as a decimal equals to 3.7143
where,
78/21 is a given fraction,
The decimal expansion of 78/21 is 3.7143

78/21 as a Mixed Number
78/21 = (63 + 15)/21
= 63/21 + 15/21
= 3 + 15/21
= 3 15/21
78/21 = 3 15/21

Hence,
78/21 as a mixed number is 3 ¹⁵/₂₁
where,
78/21 is a given fraction,
3 ¹⁵/₂₁ is the mixed number representation of 78/21.

The below work with steps provide the detailed information about how to convert fraction 78/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 78/21

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 78/21.

step 2 The numerator is greater than the denominator of the fraction 78/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 78/21
= 63 + 15/21
= (3 x 21) + 15/21

step 3 Make the above expression as individual fractions:
= (3 x 21)/21 + 15/21

step 4 Simplify the above expression:
= 3 x 21/21 + 15/21
= 3 + 15/21
= 3 + 5 x 3/7 x 3
= 3 + 5/7
3 + 5/7 can be written as a mixed number 3 ⁵/₇.


step 5 Find the decimal equivalent for the fractional part 5/7 in the above expression:
= 3 + 0.7143
= 3.7143
78/21 = 3.7143

Hence,
78/21 as a decimal is 3.7143
78/21 as a mixed number is 3 ⁵/₇