74/18 as a Decimal and Mixed Number

74/18 as a decimal and mixed number expansion provides the detailed information about what is 74/18 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

74/18 as a Decimal
74/18 = 4.1111
Hence,
74/18 as a decimal equals to 4.1111
where,
74/18 is a given fraction,
The decimal expansion of 74/18 is 4.1111

74/18 as a Mixed Number
74/18 = (72 + 2)/18
= 72/18 + 2/18
= 4 + 2/18
= 4 2/18
74/18 = 4 2/18

Hence,
74/18 as a mixed number is 4 ²/₁₈
where,
74/18 is a given fraction,
4 ²/₁₈ is the mixed number representation of 74/18.

The below work with steps provide the detailed information about how to convert fraction 74/18 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 74/18

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 74/18.

step 2 The numerator is greater than the denominator of the fraction 74/18, so write the given fraction in the expression form in terms of denominator as like the below:
= 74/18
= 72 + 2/18
= (4 x 18) + 2/18

step 3 Make the above expression as individual fractions:
= (4 x 18)/18 + 2/18

step 4 Simplify the above expression:
= 4 x 18/18 + 2/18
= 4 + 2/18
= 4 + 1 x 2/9 x 2
= 4 + 1/9
4 + 1/9 can be written as a mixed number 4 ¹/₉.


step 5 Find the decimal equivalent for the fractional part 1/9 in the above expression:
= 4 + 0.1111
= 4.1111
74/18 = 4.1111

Hence,
74/18 as a decimal is 4.1111
74/18 as a mixed number is 4 ¹/₉