210/27 as a Decimal and Mixed Number

210/27 as a decimal and mixed number expansion provides the detailed information about what is 210/27 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

210/27 as a Decimal
210/27 = 7.7778
Hence,
210/27 as a decimal equals to 7.7778
where,
210/27 is a given fraction,
The decimal expansion of 210/27 is 7.7778

210/27 as a Mixed Number
210/27 = (189 + 21)/27
= 189/27 + 21/27
= 7 + 21/27
= 7 21/27
210/27 = 7 21/27

Hence,
210/27 as a mixed number is 7 ²¹/₂₇
where,
210/27 is a given fraction,
7 ²¹/₂₇ is the mixed number representation of 210/27.

The below work with steps provide the detailed information about how to convert fraction 210/27 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 210/27

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 210/27.

step 2 The numerator is greater than the denominator of the fraction 210/27, so write the given fraction in the expression form in terms of denominator as like the below:
= 210/27
= 189 + 21/27
= (7 x 27) + 21/27

step 3 Make the above expression as individual fractions:
= (7 x 27)/27 + 21/27

step 4 Simplify the above expression:
= 7 x 27/27 + 21/27
= 7 + 21/27
= 7 + 7 x 3/9 x 3
= 7 + 7/9
7 + 7/9 can be written as a mixed number 7 ⁷/₉.


step 5 Find the decimal equivalent for the fractional part 7/9 in the above expression:
= 7 + 0.7778
= 7.7778
210/27 = 7.7778

Hence,
210/27 as a decimal is 7.7778
210/27 as a mixed number is 7 ⁷/₉