58/13 as a Decimal and Mixed Number
58/13 as a decimal and mixed number expansion provides the detailed information about what is 58/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
58/13 as a Decimal Expansion
58/13 = 4.4615
Hence,
58/13 as a decimal equals to 4.4615
where,
58/13 is a given fraction,
The decimal expansion of 58/13 is 4.4615
58/13 as a Mixed Number
58/13 = (52 + 6)/13
= 52/13 + 6/13
= 4 + 6/13
= 4 6/13
58/13 = 4 6/13
Hence,
58/13 as a mixed number is 4 6/13
where,
58/13 is a given fraction,
4 6/13 is the mixed number representation of 58/13.
How-to: 58/13 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 58/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 58/13
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 58/13.
step 2 The numerator is greater than the denominator of the fraction 58/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 58/13
= 52 + 6/13
= (4 x 13) + 6/13
step 3 Make the above expression as individual fractions:
= (4 x 13)/13 + 6/13
step 4 Simplify the above expression:
= 4 x 13/13 + 6/13
= 4 + 6/13
4 + 6/13 can be written as a mixed number 4 6/13.
step 5 Find the decimal equivalent for the fractional part 6/13 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 6/13. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 6/13.
= 4 + (6/13 x 100/100)
step 6 Simplify the above expression further:
= 4 + (600/13 x 1/100)
= 4 + (598 + 2/13 x 1/100)
= 4 + [(598/13 + 2/13 ) x 1/100]
= 4 + [(46 + 2/13) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/13 in the above expression:
= 4 + [(46 + 2/13) x 1/100]
= 4 + [(46 + 0.15) x 1/100]
= 4 + (46.15 x 1/100)
= 4 + 46.15/100
= 4 + 0.4615
step 8 Find the sum of above expression:
= 4 + 0.4615
= 4.4615
58/13 = 4.4615
Hence,
58/13 as a decimal is 4.4615
58/13 as a mixed number is 4 6/13