58/15 as a Decimal and Mixed Number
58/15 as a decimal and mixed number expansion provides the detailed information about what is 58/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
58/15 as a Decimal Expansion
58/15 = 3.8667
Hence,
58/15 as a decimal equals to 3.8667
where,
58/15 is a given fraction,
The decimal expansion of 58/15 is 3.8667
58/15 as a Mixed Number
58/15 = (45 + 13)/15
= 45/15 + 13/15
= 3 + 13/15
= 3 13/15
58/15 = 3 13/15
Hence,
58/15 as a mixed number is 3 13/15
where,
58/15 is a given fraction,
3 13/15 is the mixed number representation of 58/15.
How-to: 58/15 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 58/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 58/15
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 58/15.
step 2 The numerator is greater than the denominator of the fraction 58/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 58/15
= 45 + 13/15
= (3 x 15) + 13/15
step 3 Make the above expression as individual fractions:
= (3 x 15)/15 + 13/15
step 4 Simplify the above expression:
= 3 x 15/15 + 13/15
= 3 + 13/15
3 + 13/15 can be written as a mixed number 3 13/15.
step 5 Find the decimal equivalent for the fractional part 13/15 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 13/15. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 13/15.
= 3 + (13/15 x 10/10)
step 6 Simplify the above expression further:
= 3 + (130/15 x 1/10)
= 3 + (120 + 10/15 x 1/10)
= 3 + [(120/15 + 10/15 ) x 1/10]
= 3 + [(8 + 10/15) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 10/15 in the above expression:
= 3 + [(8 + 10/15) x 1/10]
= 3 + [(8 + 0.67) x 1/10]
= 3 + (8.67 x 1/10)
= 3 + 8.67/10
= 3 + 0.867
step 8 Find the sum of above expression:
= 3 + 0.867
= 3.867
58/15 = 3.867
Hence,
58/15 as a decimal is 3.867
58/15 as a mixed number is 3 13/15