297/252 as a Decimal and Mixed Number

297/252 as a decimal and mixed number expansion provides the detailed information about what is 297/252 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

297/252 as a Decimal
297/252 = 1.1786
Hence,
297/252 as a decimal equals to 1.1786
where,
297/252 is a given fraction,
The decimal expansion of 297/252 is 1.1786

297/252 as a Mixed Number
297/252 = (252 + 45)/252
= 252/252 + 45/252
= 1 + 45/252
= 1 45/252
297/252 = 1 45/252

Hence,
297/252 as a mixed number is 1 ⁴⁵/₂₅₂
where,
297/252 is a given fraction,
1 ⁴⁵/₂₅₂ is the mixed number representation of 297/252.

The below work with steps provide the detailed information about how to convert fraction 297/252 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 297/252

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 297/252.

step 2 The numerator is greater than the denominator of the fraction 297/252, so write the given fraction in the expression form in terms of denominator as like the below:
= 297/252
= 252 + 45/252

step 3 Make the above expression as individual fractions:
= 252/252 + 45/252

step 4 Simplify the above expression:
= 1 x 252/252 + 45/252
= 1 + 45/252
= 1 + 5 x 9/28 x 9
= 1 + 5/28
1 + 5/28 can be written as a mixed number 1 ⁵/₂₈.


step 5 Find the decimal equivalent for the fractional part 5/28 in the above expression:
= 1 + 0.1786
= 1.1786
297/252 = 1.1786

Hence,
297/252 as a decimal is 1.1786
297/252 as a mixed number is 1 ⁵/₂₈