270/40 as a Decimal and Mixed Number

270/40 as a decimal and mixed number expansion provides the detailed information about what is 270/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

270/40 as a Decimal
270/40 = 6.75
Hence,
270/40 as a decimal equals to 6.75
where,
270/40 is a given fraction,
The decimal expansion of 270/40 is 6.75

270/40 as a Mixed Number
270/40 = (240 + 30)/40
= 240/40 + 30/40
= 6 + 30/40
= 6 30/40
270/40 = 6 30/40

Hence,
270/40 as a mixed number is 6 ³⁰/₄₀
where,
270/40 is a given fraction,
6 ³⁰/₄₀ is the mixed number representation of 270/40.

The below work with steps provide the detailed information about how to convert fraction 270/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 270/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 270/40.

step 2 The numerator is greater than the denominator of the fraction 270/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 270/40
= 240 + 30/40
= (6 x 40) + 30/40

step 3 Make the above expression as individual fractions:
= (6 x 40)/40 + 30/40

step 4 Simplify the above expression:
= 6 x 40/40 + 30/40
= 6 + 30/40
= 6 + 3 x 10/4 x 10
= 6 + 3/4
6 + 3/4 can be written as a mixed number 6 ³/₄.


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 6 + (3/4 x 25/25)
= 6 + 75/100

step 6 Simplify the above expression further:
= 6 + 0.75
= 6.75
270/40 = 6.75

Hence,
270/40 as a decimal is 6.75
270/40 as a mixed number is 6 ³/₄