304/40 as a Decimal and Mixed Number

304/40 as a decimal and mixed number expansion provides the detailed information about what is 304/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

304/40 as a Decimal
304/40 = 7.6
Hence,
304/40 as a decimal equals to 7.6
where,
304/40 is a given fraction,
The decimal expansion of 304/40 is 7.6

304/40 as a Mixed Number
304/40 = (280 + 24)/40
= 280/40 + 24/40
= 7 + 24/40
= 7 24/40
304/40 = 7 24/40

Hence,
304/40 as a mixed number is 7 ²⁴/₄₀
where,
304/40 is a given fraction,
7 ²⁴/₄₀ is the mixed number representation of 304/40.

The below work with steps provide the detailed information about how to convert fraction 304/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 304/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 304/40.

step 2 The numerator is greater than the denominator of the fraction 304/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 304/40
= 280 + 24/40
= (7 x 40) + 24/40

step 3 Make the above expression as individual fractions:
= (7 x 40)/40 + 24/40

step 4 Simplify the above expression:
= 7 x 40/40 + 24/40
= 7 + 24/40
= 7 + 3 x 8/5 x 8
= 7 + 3/5
7 + 3/5 can be written as a mixed number 7 ³/₅.


step 5 Find the decimal equivalent for the fractional part 3/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 7 + (3/5 x 2/2)
= 7 + 6/10

step 6 Simplify the above expression further:
= 7 + 0.6
= 7.6
304/40 = 7.6

Hence,
304/40 as a decimal is 7.6
304/40 as a mixed number is 7 ³/₅