47/46 as a Decimal and Mixed Number

47/46 as a decimal and mixed number expansion provides the detailed information about what is 47/46 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

47/46 as a Decimal
47/46 = 1.0217
Hence,
47/46 as a decimal equals to 1.0217
where,
47/46 is a given fraction,
The decimal expansion of 47/46 is 1.0217

47/46 as a Mixed Number
47/46 = (46 + 1)/46
= 46/46 + 1/46
= 1 + 1/46
= 1 1/46
47/46 = 1 1/46

Hence,
47/46 as a mixed number is 1 ¹/₄₆
where,
47/46 is a given fraction,
1 ¹/₄₆ is the mixed number representation of 47/46.

The below work with steps provide the detailed information about how to convert fraction 47/46 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 47/46

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 47/46.

step 2 The numerator is greater than the denominator of the fraction 47/46, so write the given fraction in the expression form in terms of denominator as like the below:
= 47/46
= 46 + 1/46

step 3 Make the above expression as individual fractions:
= 46/46 + 1/46

step 4 Simplify the above expression:
= 1 + 1/46
1 + 1/46 can be written as a mixed number 1 ¹/₄₆


step 5 Find the decimal equivalent for the fractional part 1/46 in the above expression:
= 1 + 0.0217
= 1.0217
47/46 = 1.0217

Hence,
47/46 as a decimal is 1.0217
47/46 as a mixed number is 1 ¹/₄₆