27/21 as a decimal and mixed number expansion provides the detailed information about what is 27/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
27/21 as a Decimal
27/21 = 1.2857
Hence,
27/21 as a decimal equals to 1.2857
where,
27/21 is a given fraction,
The decimal expansion of 27/21 is 1.2857
27/21 as a Mixed Number
27/21 = (21 + 6)/21
= 21/21 + 6/21
= 1 + 6/21
= 1 6/21
27/21 = 1 6/21
Hence,
27/21 as a mixed number is 1 6/21
where,
27/21 is a given fraction,
1 6/21 is the mixed number representation of 27/21.
The below work with steps provide the detailed information about how to convert fraction 27/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 27/21
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 27/21.
step 2 The numerator is greater than the denominator of the fraction 27/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 27/21
= 21 + 6/21
step 3 Make the above expression as individual fractions:
= 21/21 + 6/21
step 4 Simplify the above expression:
= 1 x 21/21 + 6/21
= 1 + 6/21
= 1 + 2 x 3/7 x 3
= 1 + 2/7
1 + 2/7 can be written as a mixed number 1 2/7.
step 5 Find the decimal equivalent for the fractional part 2/7 in the above expression:
= 1 + 0.2857
= 1.2857
27/21 = 1.2857
Hence,
27/21 as a decimal is 1.2857
27/21 as a mixed number is 1 2/7