297/15 as a decimal and mixed number expansion provides the detailed information about what is 297/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
297/15 as a Decimal
297/15 = 19.8
Hence,
297/15 as a decimal equals to 19.8
where,
297/15 is a given fraction,
The decimal expansion of 297/15 is 19.8
297/15 as a Mixed Number
297/15 = (285 + 12)/15
= 285/15 + 12/15
= 19 + 12/15
= 19 12/15
297/15 = 19 12/15
Hence,
297/15 as a mixed number is 19 12/15
where,
297/15 is a given fraction,
19 12/15 is the mixed number representation of 297/15.
The below work with steps provide the detailed information about how to convert fraction 297/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 297/15
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 297/15.
step 2 The numerator is greater than the denominator of the fraction 297/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 297/15
= 285 + 12/15
= (19 x 15) + 12/15
step 3 Make the above expression as individual fractions:
= (19 x 15)/15 + 12/15
step 4 Simplify the above expression:
= 19 x 15/15 + 12/15
= 19 + 12/15
= 19 + 4 x 3/5 x 3
= 19 + 4/5
19 + 4/5 can be written as a mixed number 19 4/5.
step 5 Find the decimal equivalent for the fractional part 4/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 19 + (4/5 x 2/2)
= 19 + 8/10
step 6 Simplify the above expression further:
= 19 + 0.8
= 19.8
297/15 = 19.8
Hence,
297/15 as a decimal is 19.8
297/15 as a mixed number is 19 4/5