78/15 as a Decimal and Mixed Number

78/15 as a decimal and mixed number expansion provides the detailed information about what is 78/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

78/15 as a Decimal
78/15 = 5.2
Hence,
78/15 as a decimal equals to 5.2
where,
78/15 is a given fraction,
The decimal expansion of 78/15 is 5.2

78/15 as a Mixed Number
78/15 = (75 + 3)/15
= 75/15 + 3/15
= 5 + 3/15
= 5 3/15
78/15 = 5 3/15

Hence,
78/15 as a mixed number is 5 ³/₁₅
where,
78/15 is a given fraction,
5 ³/₁₅ is the mixed number representation of 78/15.

The below work with steps provide the detailed information about how to convert fraction 78/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 78/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 78/15.

step 2 The numerator is greater than the denominator of the fraction 78/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 78/15
= 75 + 3/15
= (5 x 15) + 3/15

step 3 Make the above expression as individual fractions:
= (5 x 15)/15 + 3/15

step 4 Simplify the above expression:
= 5 x 15/15 + 3/15
= 5 + 3/15
= 5 + 1 x 3/5 x 3
= 5 + 1/5
5 + 1/5 can be written as a mixed number 5 ¹/₅.


step 5 Find the decimal equivalent for the fractional part 1/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 5 + (1/5 x 2/2)
= 5 + 2/10

step 6 Simplify the above expression further:
= 5 + 0.2
= 5.2
78/15 = 5.2

Hence,
78/15 as a decimal is 5.2
78/15 as a mixed number is 5 ¹/₅