295/40 as a Decimal and Mixed Number

295/40 as a decimal and mixed number expansion provides the detailed information about what is 295/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

295/40 as a Decimal
295/40 = 7.375
Hence,
295/40 as a decimal equals to 7.375
where,
295/40 is a given fraction,
The decimal expansion of 295/40 is 7.375

295/40 as a Mixed Number
295/40 = (280 + 15)/40
= 280/40 + 15/40
= 7 + 15/40
= 7 15/40
295/40 = 7 15/40

Hence,
295/40 as a mixed number is 7 ¹⁵/₄₀
where,
295/40 is a given fraction,
7 ¹⁵/₄₀ is the mixed number representation of 295/40.

The below work with steps provide the detailed information about how to convert fraction 295/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 295/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 295/40.

step 2 The numerator is greater than the denominator of the fraction 295/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 295/40
= 280 + 15/40
= (7 x 40) + 15/40

step 3 Make the above expression as individual fractions:
= (7 x 40)/40 + 15/40

step 4 Simplify the above expression:
= 7 x 40/40 + 15/40
= 7 + 15/40
= 7 + 3 x 5/8 x 5
= 7 + 3/8
7 + 3/8 can be written as a mixed number 7 ³/₈.


step 5 Find the decimal equivalent for the fractional part 3/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 7 + (3/8 x 125/125)
= 7 + 375/1000

step 6 Simplify the above expression further:
= 7 + 0.375
= 7.375
295/40 = 7.375

Hence,
295/40 as a decimal is 7.375
295/40 as a mixed number is 7 ³/₈