74/15 as a Decimal and Mixed Number

74/15 as a decimal and mixed number expansion provides the detailed information about what is 74/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

74/15 as a Decimal
74/15 = 4.9333
Hence,
74/15 as a decimal equals to 4.9333
where,
74/15 is a given fraction,
The decimal expansion of 74/15 is 4.9333

74/15 as a Mixed Number
74/15 = (60 + 14)/15
= 60/15 + 14/15
= 4 + 14/15
= 4 14/15
74/15 = 4 14/15

Hence,
74/15 as a mixed number is 4 ¹⁴/₁₅
where,
74/15 is a given fraction,
4 ¹⁴/₁₅ is the mixed number representation of 74/15.

The below work with steps provide the detailed information about how to convert fraction 74/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 74/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 74/15.

step 2 The numerator is greater than the denominator of the fraction 74/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 74/15
= 60 + 14/15
= (4 x 15) + 14/15

step 3 Make the above expression as individual fractions:
= (4 x 15)/15 + 14/15

step 4 Simplify the above expression:
= 4 x 15/15 + 14/15
= 4 + 14/15
4 + 14/15 can be written as a mixed number 4 ¹⁴/₁₅.


step 5 Find the decimal equivalent for the fractional part 14/15 in the above expression:
= 4 + 0.9333
= 4.9333
74/15 = 4.9333

Hence,
74/15 as a decimal is 4.9333
74/15 as a mixed number is 4 ¹⁴/₁₅