213/63 as a decimal and mixed number expansion provides the detailed information about what is 213/63 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
213/63 as a Decimal
213/63 = 3.381
Hence,
213/63 as a decimal equals to 3.381
where,
213/63 is a given fraction,
The decimal expansion of 213/63 is 3.381
213/63 as a Mixed Number
213/63 = (189 + 24)/63
= 189/63 + 24/63
= 3 + 24/63
= 3 24/63
213/63 = 3 24/63
Hence,
213/63 as a mixed number is 3 24/63
where,
213/63 is a given fraction,
3 24/63 is the mixed number representation of 213/63.
The below work with steps provide the detailed information about how to convert fraction 213/63 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 213/63
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 213/63.
step 2 The numerator is greater than the denominator of the fraction 213/63, so write the given fraction in the expression form in terms of denominator as like the below:
= 213/63
= 189 + 24/63
= (3 x 63) + 24/63
step 3 Make the above expression as individual fractions:
= (3 x 63)/63 + 24/63
step 4 Simplify the above expression:
= 3 x 63/63 + 24/63
= 3 + 24/63
= 3 + 8 x 3/21 x 3
= 3 + 8/21
3 + 8/21 can be written as a mixed number 3 8/21.
step 5 Find the decimal equivalent for the fractional part 8/21 in the above expression:
= 3 + 0.381
= 3.381
213/63 = 3.381
Hence,
213/63 as a decimal is 3.381
213/63 as a mixed number is 3 8/21