297/51 as a Decimal and Mixed Number

297/51 as a decimal and mixed number expansion provides the detailed information about what is 297/51 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

297/51 as a Decimal
297/51 = 5.8235
Hence,
297/51 as a decimal equals to 5.8235
where,
297/51 is a given fraction,
The decimal expansion of 297/51 is 5.8235

297/51 as a Mixed Number
297/51 = (255 + 42)/51
= 255/51 + 42/51
= 5 + 42/51
= 5 42/51
297/51 = 5 42/51

Hence,
297/51 as a mixed number is 5 ⁴²/₅₁
where,
297/51 is a given fraction,
5 ⁴²/₅₁ is the mixed number representation of 297/51.

The below work with steps provide the detailed information about how to convert fraction 297/51 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 297/51

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 297/51.

step 2 The numerator is greater than the denominator of the fraction 297/51, so write the given fraction in the expression form in terms of denominator as like the below:
= 297/51
= 255 + 42/51
= (5 x 51) + 42/51

step 3 Make the above expression as individual fractions:
= (5 x 51)/51 + 42/51

step 4 Simplify the above expression:
= 5 x 51/51 + 42/51
= 5 + 42/51
= 5 + 14 x 3/17 x 3
= 5 + 14/17
5 + 14/17 can be written as a mixed number 5 ¹⁴/₁₇.


step 5 Find the decimal equivalent for the fractional part 14/17 in the above expression:
= 5 + 0.8235
= 5.8235
297/51 = 5.8235

Hence,
297/51 as a decimal is 5.8235
297/51 as a mixed number is 5 ¹⁴/₁₇