260/46 as a Decimal and Mixed Number

260/46 as a decimal and mixed number expansion provides the detailed information about what is 260/46 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

260/46 as a Decimal
260/46 = 5.6522
Hence,
260/46 as a decimal equals to 5.6522
where,
260/46 is a given fraction,
The decimal expansion of 260/46 is 5.6522

260/46 as a Mixed Number
260/46 = (230 + 30)/46
= 230/46 + 30/46
= 5 + 30/46
= 5 30/46
260/46 = 5 30/46

Hence,
260/46 as a mixed number is 5 ³⁰/₄₆
where,
260/46 is a given fraction,
5 ³⁰/₄₆ is the mixed number representation of 260/46.

The below work with steps provide the detailed information about how to convert fraction 260/46 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 260/46

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 260/46.

step 2 The numerator is greater than the denominator of the fraction 260/46, so write the given fraction in the expression form in terms of denominator as like the below:
= 260/46
= 230 + 30/46
= (5 x 46) + 30/46

step 3 Make the above expression as individual fractions:
= (5 x 46)/46 + 30/46

step 4 Simplify the above expression:
= 5 x 46/46 + 30/46
= 5 + 30/46
= 5 + 15 x 2/23 x 2
= 5 + 15/23
5 + 15/23 can be written as a mixed number 5 ¹⁵/₂₃.


step 5 Find the decimal equivalent for the fractional part 15/23 in the above expression:
= 5 + 0.6522
= 5.6522
260/46 = 5.6522

Hence,
260/46 as a decimal is 5.6522
260/46 as a mixed number is 5 ¹⁵/₂₃