297/72 as a Decimal and Mixed Number

297/72 as a decimal and mixed number expansion provides the detailed information about what is 297/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

297/72 as a Decimal
297/72 = 4.125
Hence,
297/72 as a decimal equals to 4.125
where,
297/72 is a given fraction,
The decimal expansion of 297/72 is 4.125

297/72 as a Mixed Number
297/72 = (288 + 9)/72
= 288/72 + 9/72
= 4 + 9/72
= 4 9/72
297/72 = 4 9/72

Hence,
297/72 as a mixed number is 4 ⁹/₇₂
where,
297/72 is a given fraction,
4 ⁹/₇₂ is the mixed number representation of 297/72.

The below work with steps provide the detailed information about how to convert fraction 297/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 297/72

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 297/72.

step 2 The numerator is greater than the denominator of the fraction 297/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 297/72
= 288 + 9/72
= (4 x 72) + 9/72

step 3 Make the above expression as individual fractions:
= (4 x 72)/72 + 9/72

step 4 Simplify the above expression:
= 4 x 72/72 + 9/72
= 4 + 9/72
= 4 + 1 x 9/8 x 9
= 4 + 1/8
4 + 1/8 can be written as a mixed number 4 ¹/₈.


step 5 Find the decimal equivalent for the fractional part 1/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 4 + (1/8 x 125/125)
= 4 + 125/1000

step 6 Simplify the above expression further:
= 4 + 0.125
= 4.125
297/72 = 4.125

Hence,
297/72 as a decimal is 4.125
297/72 as a mixed number is 4 ¹/₈