260/75 as a Decimal and Mixed Number

260/75 as a decimal and mixed number expansion provides the detailed information about what is 260/75 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

260/75 as a Decimal
260/75 = 3.4667
Hence,
260/75 as a decimal equals to 3.4667
where,
260/75 is a given fraction,
The decimal expansion of 260/75 is 3.4667

260/75 as a Mixed Number
260/75 = (225 + 35)/75
= 225/75 + 35/75
= 3 + 35/75
= 3 35/75
260/75 = 3 35/75

Hence,
260/75 as a mixed number is 3 ³⁵/₇₅
where,
260/75 is a given fraction,
3 ³⁵/₇₅ is the mixed number representation of 260/75.

The below work with steps provide the detailed information about how to convert fraction 260/75 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 260/75

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 260/75.

step 2 The numerator is greater than the denominator of the fraction 260/75, so write the given fraction in the expression form in terms of denominator as like the below:
= 260/75
= 225 + 35/75
= (3 x 75) + 35/75

step 3 Make the above expression as individual fractions:
= (3 x 75)/75 + 35/75

step 4 Simplify the above expression:
= 3 x 75/75 + 35/75
= 3 + 35/75
= 3 + 7 x 5/15 x 5
= 3 + 7/15
3 + 7/15 can be written as a mixed number 3 ⁷/₁₅.


step 5 Find the decimal equivalent for the fractional part 7/15 in the above expression:
= 3 + 0.4667
= 3.4667
260/75 = 3.4667

Hence,
260/75 as a decimal is 3.4667
260/75 as a mixed number is 3 ⁷/₁₅