73/13 as a Decimal and Mixed Number
73/13 as a decimal and mixed number expansion provides the detailed information about what is 73/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
73/13 as a Decimal Expansion
73/13 = 5.6154
Hence,
73/13 as a decimal equals to 5.6154
where,
73/13 is a given fraction,
The decimal expansion of 73/13 is 5.6154
73/13 as a Mixed Number
73/13 = (65 + 8)/13
= 65/13 + 8/13
= 5 + 8/13
= 5 8/13
73/13 = 5 8/13
Hence,
73/13 as a mixed number is 5 8/13
where,
73/13 is a given fraction,
5 8/13 is the mixed number representation of 73/13.
How-to: 73/13 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 73/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 73/13
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 73/13.
step 2 The numerator is greater than the denominator of the fraction 73/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 73/13
= 65 + 8/13
= (5 x 13) + 8/13
step 3 Make the above expression as individual fractions:
= (5 x 13)/13 + 8/13
step 4 Simplify the above expression:
= 5 x 13/13 + 8/13
= 5 + 8/13
5 + 8/13 can be written as a mixed number 5 8/13.
step 5 Find the decimal equivalent for the fractional part 8/13 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 8/13. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 8/13.
= 5 + (8/13 x 100/100)
step 6 Simplify the above expression further:
= 5 + (800/13 x 1/100)
= 5 + (793 + 7/13 x 1/100)
= 5 + [(793/13 + 7/13 ) x 1/100]
= 5 + [(61 + 7/13) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 7/13 in the above expression:
= 5 + [(61 + 7/13) x 1/100]
= 5 + [(61 + 0.54) x 1/100]
= 5 + (61.54 x 1/100)
= 5 + 61.54/100
= 5 + 0.6154
step 8 Find the sum of above expression:
= 5 + 0.6154
= 5.6154
73/13 = 5.6154
Hence,
73/13 as a decimal is 5.6154
73/13 as a mixed number is 5 8/13