300/216 as a Decimal and Mixed Number

300/216 as a decimal and mixed number expansion provides the detailed information about what is 300/216 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

300/216 as a Decimal
300/216 = 1.3889
Hence,
300/216 as a decimal equals to 1.3889
where,
300/216 is a given fraction,
The decimal expansion of 300/216 is 1.3889

300/216 as a Mixed Number
300/216 = (216 + 84)/216
= 216/216 + 84/216
= 1 + 84/216
= 1 84/216
300/216 = 1 84/216

Hence,
300/216 as a mixed number is 1 ⁸⁴/₂₁₆
where,
300/216 is a given fraction,
1 ⁸⁴/₂₁₆ is the mixed number representation of 300/216.

The below work with steps provide the detailed information about how to convert fraction 300/216 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 300/216

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 300/216.

step 2 The numerator is greater than the denominator of the fraction 300/216, so write the given fraction in the expression form in terms of denominator as like the below:
= 300/216
= 216 + 84/216

step 3 Make the above expression as individual fractions:
= 216/216 + 84/216

step 4 Simplify the above expression:
= 1 x 216/216 + 84/216
= 1 + 84/216
= 1 + 7 x 12/18 x 12
= 1 + 7/18
1 + 7/18 can be written as a mixed number 1 ⁷/₁₈.


step 5 Find the decimal equivalent for the fractional part 7/18 in the above expression:
= 1 + 0.3889
= 1.3889
300/216 = 1.3889

Hence,
300/216 as a decimal is 1.3889
300/216 as a mixed number is 1 ⁷/₁₈