46/21 as a Decimal and Mixed Number

46/21 as a decimal and mixed number expansion provides the detailed information about what is 46/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

46/21 as a Decimal
46/21 = 2.1905
Hence,
46/21 as a decimal equals to 2.1905
where,
46/21 is a given fraction,
The decimal expansion of 46/21 is 2.1905

46/21 as a Mixed Number
46/21 = (42 + 4)/21
= 42/21 + 4/21
= 2 + 4/21
= 2 4/21
46/21 = 2 4/21

Hence,
46/21 as a mixed number is 2 ⁴/₂₁
where,
46/21 is a given fraction,
2 ⁴/₂₁ is the mixed number representation of 46/21.

The below work with steps provide the detailed information about how to convert fraction 46/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 46/21

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 46/21.

step 2 The numerator is greater than the denominator of the fraction 46/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 46/21
= 42 + 4/21
= (2 x 21) + 4/21

step 3 Make the above expression as individual fractions:
= (2 x 21)/21 + 4/21

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


step 5 Find the decimal equivalent for the fractional part 4/21 in the above expression:
= 2 + 0.1905
= 2.1905
46/21 = 2.1905

Hence,
46/21 as a decimal is 2.1905
46/21 as a mixed number is 2 ⁴/₂₁