360/355 as a Decimal and Mixed Number

360/355 as a decimal and mixed number expansion provides the detailed information about what is 360/355 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

360/355 as a Decimal
360/355 = 1.0141
Hence,
360/355 as a decimal equals to 1.0141
where,
360/355 is a given fraction,
The decimal expansion of 360/355 is 1.0141

360/355 as a Mixed Number
360/355 = (355 + 5)/355
= 355/355 + 5/355
= 1 + 5/355
= 1 5/355
360/355 = 1 5/355

Hence,
360/355 as a mixed number is 1 ⁵/₃₅₅
where,
360/355 is a given fraction,
1 ⁵/₃₅₅ is the mixed number representation of 360/355.

The below work with steps provide the detailed information about how to convert fraction 360/355 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 360/355

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 360/355.

step 2 The numerator is greater than the denominator of the fraction 360/355, so write the given fraction in the expression form in terms of denominator as like the below:
= 360/355
= 355 + 5/355

step 3 Make the above expression as individual fractions:
= 355/355 + 5/355

step 4 Simplify the above expression:
= 1 x 355/355 + 5/355
= 1 + 5/355
= 1 + 1 x 5/71 x 5
= 1 + 1/71
1 + 1/71 can be written as a mixed number 1 ¹/₇₁.


step 5 Find the decimal equivalent for the fractional part 1/71 in the above expression:
= 1 + 0.0141
= 1.0141
360/355 = 1.0141

Hence,
360/355 as a decimal is 1.0141
360/355 as a mixed number is 1 ¹/₇₁