43/13 as a Decimal and Mixed Number
43/13 as a decimal and mixed number expansion provides the detailed information about what is 43/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
43/13 as a Decimal Expansion
43/13 = 3.3077
Hence,
43/13 as a decimal equals to 3.3077
where,
43/13 is a given fraction,
The decimal expansion of 43/13 is 3.3077
43/13 as a Mixed Number
43/13 = (39 + 4)/13
= 39/13 + 4/13
= 3 + 4/13
= 3 4/13
43/13 = 3 4/13
Hence,
43/13 as a mixed number is 3 4/13
where,
43/13 is a given fraction,
3 4/13 is the mixed number representation of 43/13.
How-to: 43/13 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 43/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 43/13
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 43/13.
step 2 The numerator is greater than the denominator of the fraction 43/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 43/13
= 39 + 4/13
= (3 x 13) + 4/13
step 3 Make the above expression as individual fractions:
= (3 x 13)/13 + 4/13
step 4 Simplify the above expression:
= 3 x 13/13 + 4/13
= 3 + 4/13
3 + 4/13 can be written as a mixed number 3 4/13.
step 5 Find the decimal equivalent for the fractional part 4/13 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 4/13. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 4/13.
= 3 + (4/13 x 100/100)
step 6 Simplify the above expression further:
= 3 + (400/13 x 1/100)
= 3 + (390 + 10/13 x 1/100)
= 3 + [(390/13 + 10/13 ) x 1/100]
= 3 + [(30 + 10/13) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 10/13 in the above expression:
= 3 + [(30 + 10/13) x 1/100]
= 3 + [(30 + 0.77) x 1/100]
= 3 + (30.77 x 1/100)
= 3 + 30.77/100
= 3 + 0.3077
step 8 Find the sum of above expression:
= 3 + 0.3077
= 3.3077
43/13 = 3.3077
Hence,
43/13 as a decimal is 3.3077
43/13 as a mixed number is 3 4/13