49/21 as a Decimal and Mixed Number

49/21 as a decimal and mixed number expansion provides the detailed information about what is 49/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

49/21 as a Decimal
49/21 = 2.3333
Hence,
49/21 as a decimal equals to 2.3333
where,
49/21 is a given fraction,
The decimal expansion of 49/21 is 2.3333

49/21 as a Mixed Number
49/21 = (42 + 7)/21
= 42/21 + 7/21
= 2 + 7/21
= 2 7/21
49/21 = 2 7/21

Hence,
49/21 as a mixed number is 2 ⁷/₂₁
where,
49/21 is a given fraction,
2 ⁷/₂₁ is the mixed number representation of 49/21.

The below work with steps provide the detailed information about how to convert fraction 49/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 49/21

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 49/21.

step 2 The numerator is greater than the denominator of the fraction 49/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 49/21
= 42 + 7/21
= (2 x 21) + 7/21

step 3 Make the above expression as individual fractions:
= (2 x 21)/21 + 7/21

step 4 Simplify the above expression:
= 2 x 21/21 + 7/21
= 2 + 7/21
= 2 + 1 x 7/3 x 7
= 2 + 1/3
2 + 1/3 can be written as a mixed number 2 ¹/₃.


step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 2 + 0.3333
= 2.3333
49/21 = 2.3333

Hence,
49/21 as a decimal is 2.3333
49/21 as a mixed number is 2 ¹/₃