46/43 as a Decimal and Mixed Number

46/43 as a decimal and mixed number expansion provides the detailed information about what is 46/43 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

46/43 as a Decimal
46/43 = 1.0698
Hence,
46/43 as a decimal equals to 1.0698
where,
46/43 is a given fraction,
The decimal expansion of 46/43 is 1.0698

46/43 as a Mixed Number
46/43 = (43 + 3)/43
= 43/43 + 3/43
= 1 + 3/43
= 1 3/43
46/43 = 1 3/43

Hence,
46/43 as a mixed number is 1 ³/₄₃
where,
46/43 is a given fraction,
1 ³/₄₃ is the mixed number representation of 46/43.

The below work with steps provide the detailed information about how to convert fraction 46/43 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 46/43

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 46/43.

step 2 The numerator is greater than the denominator of the fraction 46/43, so write the given fraction in the expression form in terms of denominator as like the below:
= 46/43
= 43 + 3/43

step 3 Make the above expression as individual fractions:
= 43/43 + 3/43

step 4 Simplify the above expression:
= 1 x 43/43 + 3/43
= 1 + 3/43
1 + 3/43 can be written as a mixed number 1 ³/₄₃.


step 5 Find the decimal equivalent for the fractional part 3/43 in the above expression:
= 1 + 0.0698
= 1.0698
46/43 = 1.0698

Hence,
46/43 as a decimal is 1.0698
46/43 as a mixed number is 1 ³/₄₃