46/18 as a Decimal and Mixed Number

46/18 as a decimal and mixed number expansion provides the detailed information about what is 46/18 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

46/18 as a Decimal
46/18 = 2.5556
Hence,
46/18 as a decimal equals to 2.5556
where,
46/18 is a given fraction,
The decimal expansion of 46/18 is 2.5556

46/18 as a Mixed Number
46/18 = (36 + 10)/18
= 36/18 + 10/18
= 2 + 10/18
= 2 10/18
46/18 = 2 10/18

Hence,
46/18 as a mixed number is 2 ¹⁰/₁₈
where,
46/18 is a given fraction,
2 ¹⁰/₁₈ is the mixed number representation of 46/18.

The below work with steps provide the detailed information about how to convert fraction 46/18 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 46/18

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 46/18.

step 2 The numerator is greater than the denominator of the fraction 46/18, so write the given fraction in the expression form in terms of denominator as like the below:
= 46/18
= 36 + 10/18
= (2 x 18) + 10/18

step 3 Make the above expression as individual fractions:
= (2 x 18)/18 + 10/18

step 4 Simplify the above expression:
= 2 x 18/18 + 10/18
= 2 + 10/18
= 2 + 5 x 2/9 x 2
= 2 + 5/9
2 + 5/9 can be written as a mixed number 2 ⁵/₉.


step 5 Find the decimal equivalent for the fractional part 5/9 in the above expression:
= 2 + 0.5556
= 2.5556
46/18 = 2.5556

Hence,
46/18 as a decimal is 2.5556
46/18 as a mixed number is 2 ⁵/₉