43/15 as a Decimal and Mixed Number
43/15 as a decimal and mixed number expansion provides the detailed information about what is 43/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
43/15 as a Decimal Expansion
43/15 = 2.8667
Hence,
43/15 as a decimal equals to 2.8667
where,
43/15 is a given fraction,
The decimal expansion of 43/15 is 2.8667
43/15 as a Mixed Number
43/15 = (30 + 13)/15
= 30/15 + 13/15
= 2 + 13/15
= 2 13/15
43/15 = 2 13/15
Hence,
43/15 as a mixed number is 2 13/15
where,
43/15 is a given fraction,
2 13/15 is the mixed number representation of 43/15.
How-to: 43/15 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 43/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 43/15
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 43/15.
step 2 The numerator is greater than the denominator of the fraction 43/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 43/15
= 30 + 13/15
= (2 x 15) + 13/15
step 3 Make the above expression as individual fractions:
= (2 x 15)/15 + 13/15
step 4 Simplify the above expression:
= 2 x 15/15 + 13/15
= 2 + 13/15
2 + 13/15 can be written as a mixed number 2 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.
= 2 + (13/15 x 10/10)
step 6 Simplify the above expression further:
= 2 + (130/15 x 1/10)
= 2 + (120 + 10/15 x 1/10)
= 2 + [(120/15 + 10/15 ) x 1/10]
= 2 + [(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:
= 2 + [(8 + 10/15) x 1/10]
= 2 + [(8 + 0.67) x 1/10]
= 2 + (8.67 x 1/10)
= 2 + 8.67/10
= 2 + 0.867
step 8 Find the sum of above expression:
= 2 + 0.867
= 2.867
43/15 = 2.867
Hence,
43/15 as a decimal is 2.867
43/15 as a mixed number is 2 13/15