245/28 as a Decimal and Mixed Number

245/28 as a decimal and mixed number expansion provides the detailed information about what is 245/28 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

245/28 as a Decimal
245/28 = 8.75
Hence,
245/28 as a decimal equals to 8.75
where,
245/28 is a given fraction,
The decimal expansion of 245/28 is 8.75

245/28 as a Mixed Number
245/28 = (224 + 21)/28
= 224/28 + 21/28
= 8 + 21/28
= 8 21/28
245/28 = 8 21/28

Hence,
245/28 as a mixed number is 8 ²¹/₂₈
where,
245/28 is a given fraction,
8 ²¹/₂₈ is the mixed number representation of 245/28.

The below work with steps provide the detailed information about how to convert fraction 245/28 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 245/28

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 245/28.

step 2 The numerator is greater than the denominator of the fraction 245/28, so write the given fraction in the expression form in terms of denominator as like the below:
= 245/28
= 224 + 21/28
= (8 x 28) + 21/28

step 3 Make the above expression as individual fractions:
= (8 x 28)/28 + 21/28

step 4 Simplify the above expression:
= 8 x 28/28 + 21/28
= 8 + 21/28
= 8 + 3 x 7/4 x 7
= 8 + 3/4
8 + 3/4 can be written as a mixed number 8 ³/₄.


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 8 + (3/4 x 25/25)
= 8 + 75/100

step 6 Simplify the above expression further:
= 8 + 0.75
= 8.75
245/28 = 8.75

Hence,
245/28 as a decimal is 8.75
245/28 as a mixed number is 8 ³/₄