76/15 as a Decimal and Mixed Number

76/15 as a decimal and mixed number expansion provides the detailed information about what is 76/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

76/15 as a Decimal
76/15 = 5.0667
Hence,
76/15 as a decimal equals to 5.0667
where,
76/15 is a given fraction,
The decimal expansion of 76/15 is 5.0667

76/15 as a Mixed Number
76/15 = (75 + 1)/15
= 75/15 + 1/15
= 5 + 1/15
= 5 1/15
76/15 = 5 1/15

Hence,
76/15 as a mixed number is 5 ¹/₁₅
where,
76/15 is a given fraction,
5 ¹/₁₅ is the mixed number representation of 76/15.

The below work with steps provide the detailed information about how to convert fraction 76/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 76/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 76/15.

step 2 The numerator is greater than the denominator of the fraction 76/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 76/15
= 75 + 1/15
= (5 x 15) + 1/15

step 3 Make the above expression as individual fractions:
= (5 x 15)/15 + 1/15

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


step 5 Find the decimal equivalent for the fractional part 1/15 in the above expression:
= 5 + 0.0667
= 5.0667
76/15 = 5.0667

Hence,
76/15 as a decimal is 5.0667
76/15 as a mixed number is 5 ¹/₁₅