40/3 as a Decimal and Mixed Number
40/3 as a decimal and mixed number expansion provides the detailed information about what is 40/3 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
40/3 as a Decimal Expansion
40/3 = 13.3333
Hence,
40/3 as a decimal equals to 13.3333
where,
40/3 is a given fraction,
The decimal expansion of 40/3 is 13.3333
40/3 as a Mixed Number
40/3 = (39 + 1)/3
= 39/3 + 1/3
= 13 + 1/3
= 13 1/3
40/3 = 13 1/3
Hence,
40/3 as a mixed number is 13 1/3
where,
40/3 is a given fraction,
13 1/3 is the mixed number representation of 40/3.
How-to: 40/3 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 40/3 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 40/3
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 40/3.
step 2 The numerator is greater than the denominator of the fraction 40/3, so write the given fraction in the expression form in terms of denominator as like the below:
= 40/3
= 39 + 1/3
= (13 x 3) + 1/3
step 3 Make the above expression as individual fractions:
= (13 x 3)/3 + 1/3
step 4 Simplify the above expression:
= 13 x 3/3 + 1/3
= 13 + 1/3
13 + 1/3 can be written as a mixed number 13 1/3.
step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/3. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 1/3.
= 13 + (1/3 x 10/10)
step 6 Simplify the above expression further:
= 13 + (10/3 x 1/10)
= 13 + (9 + 1/3 x 1/10)
= 13 + [(9/3 + 1/3 ) x 1/10]
= 13 + [(3 + 1/3) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 1/3 in the above expression:
= 13 + [(3 + 1/3) x 1/10]
= 13 + [(3 + 0.33) x 1/10]
= 13 + (3.33 x 1/10)
= 13 + 3.33/10
= 13 + 0.333
step 8 Find the sum of above expression:
= 13 + 0.333
= 13.333
40/3 = 13.333
Hence,
40/3 as a decimal is 13.333
40/3 as a mixed number is 13 1/3