40/15 as a decimal and mixed number expansion provides the detailed information about what is 40/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
40/15 as a Decimal
40/15 = 2.6667
Hence,
40/15 as a decimal equals to 2.6667
where,
40/15 is a given fraction,
The decimal expansion of 40/15 is 2.6667
40/15 as a Mixed Number
40/15 = (30 + 10)/15
= 30/15 + 10/15
= 2 + 10/15
= 2 10/15
40/15 = 2 10/15
Hence,
40/15 as a mixed number is 2 10/15
where,
40/15 is a given fraction,
2 10/15 is the mixed number representation of 40/15.
The below work with steps provide the detailed information about how to convert fraction 40/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 40/15
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 40/15.
step 2 The numerator is greater than the denominator of the fraction 40/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 40/15
= 30 + 10/15
= (2 x 15) + 10/15
step 3 Make the above expression as individual fractions:
= (2 x 15)/15 + 10/15
step 4 Simplify the above expression:
= 2 x 15/15 + 10/15
= 2 + 10/15
= 2 + 2 x 5/3 x 5
= 2 + 2/3
2 + 2/3 can be written as a mixed number 2 2/3.
step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 2 + 0.6667
= 2.6667
40/15 = 2.6667
Hence,
40/15 as a decimal is 2.6667
40/15 as a mixed number is 2 2/3