40/14 as a decimal and mixed number expansion provides the detailed information about what is 40/14 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
40/14 as a Decimal
40/14 = 2.8571
Hence,
40/14 as a decimal equals to 2.8571
where,
40/14 is a given fraction,
The decimal expansion of 40/14 is 2.8571
40/14 as a Mixed Number
40/14 = (28 + 12)/14
= 28/14 + 12/14
= 2 + 12/14
= 2 12/14
40/14 = 2 12/14
Hence,
40/14 as a mixed number is 2 12/14
where,
40/14 is a given fraction,
2 12/14 is the mixed number representation of 40/14.
The below work with steps provide the detailed information about how to convert fraction 40/14 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 40/14
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 40/14.
step 2 The numerator is greater than the denominator of the fraction 40/14, so write the given fraction in the expression form in terms of denominator as like the below:
= 40/14
= 28 + 12/14
= (2 x 14) + 12/14
step 3 Make the above expression as individual fractions:
= (2 x 14)/14 + 12/14
step 4 Simplify the above expression:
= 2 x 14/14 + 12/14
= 2 + 12/14
= 2 + 6 x 2/7 x 2
= 2 + 6/7
2 + 6/7 can be written as a mixed number 2 6/7.
step 5 Find the decimal equivalent for the fractional part 6/7 in the above expression:
= 2 + 0.8571
= 2.8571
40/14 = 2.8571
Hence,
40/14 as a decimal is 2.8571
40/14 as a mixed number is 2 6/7