275/75 as a decimal and mixed number expansion provides the detailed information about what is 275/75 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
275/75 as a Decimal
275/75 = 3.6667
Hence,
275/75 as a decimal equals to 3.6667
where,
275/75 is a given fraction,
The decimal expansion of 275/75 is 3.6667
275/75 as a Mixed Number
275/75 = (225 + 50)/75
= 225/75 + 50/75
= 3 + 50/75
= 3 50/75
275/75 = 3 50/75
Hence,
275/75 as a mixed number is 3 50/75
where,
275/75 is a given fraction,
3 50/75 is the mixed number representation of 275/75.
The below work with steps provide the detailed information about how to convert fraction 275/75 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 275/75
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 275/75.
step 2 The numerator is greater than the denominator of the fraction 275/75, so write the given fraction in the expression form in terms of denominator as like the below:
= 275/75
= 225 + 50/75
= (3 x 75) + 50/75
step 3 Make the above expression as individual fractions:
= (3 x 75)/75 + 50/75
step 4 Simplify the above expression:
= 3 x 75/75 + 50/75
= 3 + 50/75
= 3 + 2 x 25/3 x 25
= 3 + 2/3
3 + 2/3 can be written as a mixed number 3 2/3.
step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 3 + 0.6667
= 3.6667
275/75 = 3.6667
Hence,
275/75 as a decimal is 3.6667
275/75 as a mixed number is 3 2/3