360/320 as a Decimal and Mixed Number

360/320 as a decimal and mixed number expansion provides the detailed information about what is 360/320 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

360/320 as a Decimal
360/320 = 1.125
Hence,
360/320 as a decimal equals to 1.125
where,
360/320 is a given fraction,
The decimal expansion of 360/320 is 1.125

360/320 as a Mixed Number
360/320 = (320 + 40)/320
= 320/320 + 40/320
= 1 + 40/320
= 1 40/320
360/320 = 1 40/320

Hence,
360/320 as a mixed number is 1 ⁴⁰/₃₂₀
where,
360/320 is a given fraction,
1 ⁴⁰/₃₂₀ is the mixed number representation of 360/320.

The below work with steps provide the detailed information about how to convert fraction 360/320 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 360/320

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 360/320.

step 2 The numerator is greater than the denominator of the fraction 360/320, so write the given fraction in the expression form in terms of denominator as like the below:
= 360/320
= 320 + 40/320

step 3 Make the above expression as individual fractions:
= 320/320 + 40/320

step 4 Simplify the above expression:
= 1 x 320/320 + 40/320
= 1 + 40/320
= 1 + 1 x 40/8 x 40
= 1 + 1/8
1 + 1/8 can be written as a mixed number 1 ¹/₈.


step 5 Find the decimal equivalent for the fractional part 1/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 1 + (1/8 x 125/125)
= 1 + 125/1000

step 6 Simplify the above expression further:
= 1 + 0.125
= 1.125
360/320 = 1.125

Hence,
360/320 as a decimal is 1.125
360/320 as a mixed number is 1 ¹/₈