72/46 as a Decimal and Mixed Number

72/46 as a decimal and mixed number expansion provides the detailed information about what is 72/46 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

72/46 as a Decimal
72/46 = 1.5652
Hence,
72/46 as a decimal equals to 1.5652
where,
72/46 is a given fraction,
The decimal expansion of 72/46 is 1.5652

72/46 as a Mixed Number
72/46 = (46 + 26)/46
= 46/46 + 26/46
= 1 + 26/46
= 1 26/46
72/46 = 1 26/46

Hence,
72/46 as a mixed number is 1 ²⁶/₄₆
where,
72/46 is a given fraction,
1 ²⁶/₄₆ is the mixed number representation of 72/46.

The below work with steps provide the detailed information about how to convert fraction 72/46 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 72/46

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 72/46.

step 2 The numerator is greater than the denominator of the fraction 72/46, so write the given fraction in the expression form in terms of denominator as like the below:
= 72/46
= 46 + 26/46

step 3 Make the above expression as individual fractions:
= 46/46 + 26/46

step 4 Simplify the above expression:
= 1 x 46/46 + 26/46
= 1 + 26/46
= 1 + 13 x 2/23 x 2
= 1 + 13/23
1 + 13/23 can be written as a mixed number 1 ¹³/₂₃.


step 5 Find the decimal equivalent for the fractional part 13/23 in the above expression:
= 1 + 0.5652
= 1.5652
72/46 = 1.5652

Hence,
72/46 as a decimal is 1.5652
72/46 as a mixed number is 1 ¹³/₂₃