207/21 as a decimal and mixed number expansion provides the detailed information about what is 207/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
207/21 as a Decimal
207/21 = 9.8571
Hence,
207/21 as a decimal equals to 9.8571
where,
207/21 is a given fraction,
The decimal expansion of 207/21 is 9.8571
207/21 as a Mixed Number
207/21 = (189 + 18)/21
= 189/21 + 18/21
= 9 + 18/21
= 9 18/21
207/21 = 9 18/21
Hence,
207/21 as a mixed number is 9 18/21
where,
207/21 is a given fraction,
9 18/21 is the mixed number representation of 207/21.
The below work with steps provide the detailed information about how to convert fraction 207/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 207/21
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 207/21.
step 2 The numerator is greater than the denominator of the fraction 207/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 207/21
= 189 + 18/21
= (9 x 21) + 18/21
step 3 Make the above expression as individual fractions:
= (9 x 21)/21 + 18/21
step 4 Simplify the above expression:
= 9 x 21/21 + 18/21
= 9 + 18/21
= 9 + 6 x 3/7 x 3
= 9 + 6/7
9 + 6/7 can be written as a mixed number 9 6/7.
step 5 Find the decimal equivalent for the fractional part 6/7 in the above expression:
= 9 + 0.8571
= 9.8571
207/21 = 9.8571
Hence,
207/21 as a decimal is 9.8571
207/21 as a mixed number is 9 6/7