175/55 as a decimal and mixed number expansion provides the detailed information about what is 175/55 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
175/55 as a Decimal
175/55 = 3.1818
Hence,
175/55 as a decimal equals to 3.1818
where,
175/55 is a given fraction,
The decimal expansion of 175/55 is 3.1818
175/55 as a Mixed Number
175/55 = (165 + 10)/55
= 165/55 + 10/55
= 3 + 10/55
= 3 10/55
175/55 = 3 10/55
Hence,
175/55 as a mixed number is 3 10/55
where,
175/55 is a given fraction,
3 10/55 is the mixed number representation of 175/55.
The below work with steps provide the detailed information about how to convert fraction 175/55 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 175/55
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 175/55.
step 2 The numerator is greater than the denominator of the fraction 175/55, so write the given fraction in the expression form in terms of denominator as like the below:
= 175/55
= 165 + 10/55
= (3 x 55) + 10/55
step 3 Make the above expression as individual fractions:
= (3 x 55)/55 + 10/55
step 4 Simplify the above expression:
= 3 x 55/55 + 10/55
= 3 + 10/55
= 3 + 2 x 5/11 x 5
= 3 + 2/11
3 + 2/11 can be written as a mixed number 3 2/11.
step 5 Find the decimal equivalent for the fractional part 2/11 in the above expression:
= 3 + 0.1818
= 3.1818
175/55 = 3.1818
Hence,
175/55 as a decimal is 3.1818
175/55 as a mixed number is 3 2/11