76/13 as a Decimal and Mixed Number
76/13 as a decimal and mixed number expansion provides the detailed information about what is 76/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
76/13 as a Decimal Expansion
76/13 = 5.8462
Hence,
76/13 as a decimal equals to 5.8462
where,
76/13 is a given fraction,
The decimal expansion of 76/13 is 5.8462
76/13 as a Mixed Number
76/13 = (65 + 11)/13
= 65/13 + 11/13
= 5 + 11/13
= 5 11/13
76/13 = 5 11/13
Hence,
76/13 as a mixed number is 5 11/13
where,
76/13 is a given fraction,
5 11/13 is the mixed number representation of 76/13.
How-to: 76/13 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 76/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 76/13
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 76/13.
step 2 The numerator is greater than the denominator of the fraction 76/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 76/13
= 65 + 11/13
= (5 x 13) + 11/13
step 3 Make the above expression as individual fractions:
= (5 x 13)/13 + 11/13
step 4 Simplify the above expression:
= 5 x 13/13 + 11/13
= 5 + 11/13
5 + 11/13 can be written as a mixed number 5 11/13.
step 5 Find the decimal equivalent for the fractional part 11/13 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 11/13. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 11/13.
= 5 + (11/13 x 10/10)
step 6 Simplify the above expression further:
= 5 + (110/13 x 1/10)
= 5 + (104 + 6/13 x 1/10)
= 5 + [(104/13 + 6/13 ) x 1/10]
= 5 + [(8 + 6/13) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 6/13 in the above expression:
= 5 + [(8 + 6/13) x 1/10]
= 5 + [(8 + 0.46) x 1/10]
= 5 + (8.46 x 1/10)
= 5 + 8.46/10
= 5 + 0.846
step 8 Find the sum of above expression:
= 5 + 0.846
= 5.846
76/13 = 5.846
Hence,
76/13 as a decimal is 5.846
76/13 as a mixed number is 5 11/13