205/75 as a Decimal and Mixed Number
205/75 as a decimal and mixed number expansion provides the detailed information about what is 205/75 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
205/75 as a Decimal
205/75 = 2.7333
Hence,
205/75 as a decimal equals to 2.7333
where,
205/75 is a given fraction,
The decimal expansion of 205/75 is 2.7333
205/75 as a Mixed Number
205/75 = (150 + 55)/75
= 150/75 + 55/75
= 2 + 55/75
= 2 55/75
205/75 = 2 55/75
Hence,
205/75 as a mixed number is 2 55/75
where,
205/75 is a given fraction,
2 55/75 is the mixed number representation of 205/75.
How-to: 205/75 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 205/75 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 205/75
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 205/75.
step 2 The numerator is greater than the denominator of the fraction 205/75, so write the given fraction in the expression form in terms of denominator as like the below:
= 205/75
= 150 + 55/75
= (2 x 75) + 55/75
step 3 Make the above expression as individual fractions:
= (2 x 75)/75 + 55/75
step 4 Simplify the above expression:
= 2 x 75/75 + 55/75
= 2 + 55/75
= 2 + 11 x 5/15 x 5
= 2 + 11/15
2 + 11/15 can be written as a mixed number 2 11/15.
step 5 Find the decimal equivalent for the fractional part 11/15 in the above expression:
= 2 + 0.7333
= 2.7333
205/75 = 2.7333
Hence,
205/75 as a decimal is 2.7333
205/75 as a mixed number is 2 11/15