330/21 as a Decimal and Mixed Number

330/21 as a decimal and mixed number expansion provides the detailed information about what is 330/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

330/21 as a Decimal
330/21 = 15.7143
Hence,
330/21 as a decimal equals to 15.7143
where,
330/21 is a given fraction,
The decimal expansion of 330/21 is 15.7143

330/21 as a Mixed Number
330/21 = (315 + 15)/21
= 315/21 + 15/21
= 15 + 15/21
= 15 15/21
330/21 = 15 15/21

Hence,
330/21 as a mixed number is 15 ¹⁵/₂₁
where,
330/21 is a given fraction,
15 ¹⁵/₂₁ is the mixed number representation of 330/21.

The below work with steps provide the detailed information about how to convert fraction 330/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 330/21

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 330/21.

step 2 The numerator is greater than the denominator of the fraction 330/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 330/21
= 315 + 15/21
= (15 x 21) + 15/21

step 3 Make the above expression as individual fractions:
= (15 x 21)/21 + 15/21

step 4 Simplify the above expression:
= 15 x 21/21 + 15/21
= 15 + 15/21
= 15 + 5 x 3/7 x 3
= 15 + 5/7
15 + 5/7 can be written as a mixed number 15 ⁵/₇.


step 5 Find the decimal equivalent for the fractional part 5/7 in the above expression:
= 15 + 0.7143
= 15.7143
330/21 = 15.7143

Hence,
330/21 as a decimal is 15.7143
330/21 as a mixed number is 15 ⁵/₇