47/40 as a Decimal and Mixed Number

47/40 as a decimal and mixed number expansion provides the detailed information about what is 47/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

47/40 as a Decimal
47/40 = 1.175
Hence,
47/40 as a decimal equals to 1.175
where,
47/40 is a given fraction,
The decimal expansion of 47/40 is 1.175

47/40 as a Mixed Number
47/40 = (40 + 7)/40
= 40/40 + 7/40
= 1 + 7/40
= 1 7/40
47/40 = 1 7/40

Hence,
47/40 as a mixed number is 1 ⁷/₄₀
where,
47/40 is a given fraction,
1 ⁷/₄₀ is the mixed number representation of 47/40.

The below work with steps provide the detailed information about how to convert fraction 47/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 47/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 47/40.

step 2 The numerator is greater than the denominator of the fraction 47/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 47/40
= 40 + 7/40

step 3 Make the above expression as individual fractions:
= 40/40 + 7/40

step 4 Simplify the above expression:
= 1 x 40/40 + 7/40
= 1 + 7/40
1 + 7/40 can be written as a mixed number 1 ⁷/₄₀.


step 5 Find the decimal equivalent for the fractional part 7/40 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 1 + (7/40 x 25/25)
= 1 + 175/1000

step 6 Simplify the above expression further:
= 1 + 0.175
= 1.175
47/40 = 1.175

Hence,
47/40 as a decimal is 1.175
47/40 as a mixed number is 1 ⁷/₄₀