143/46 as a decimal and mixed number expansion provides the detailed information about what is 143/46 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
143/46 as a Decimal
143/46 = 3.1087
Hence,
143/46 as a decimal equals to 3.1087
where,
143/46 is a given fraction,
The decimal expansion of 143/46 is 3.1087
143/46 as a Mixed Number
143/46 = (138 + 5)/46
= 138/46 + 5/46
= 3 + 5/46
= 3 5/46
143/46 = 3 5/46
Hence,
143/46 as a mixed number is 3 5/46
where,
143/46 is a given fraction,
3 5/46 is the mixed number representation of 143/46.
The below work with steps provide the detailed information about how to convert fraction 143/46 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 143/46
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 143/46.
step 2 The numerator is greater than the denominator of the fraction 143/46, so write the given fraction in the expression form in terms of denominator as like the below:
= 143/46
= 138 + 5/46
= (3 x 46) + 5/46
step 3 Make the above expression as individual fractions:
= (3 x 46)/46 + 5/46
step 4 Simplify the above expression:
= 3 x 46/46 + 5/46
= 3 + 5/46
3 + 5/46 can be written as a mixed number 3 5/46.
step 5 Find the decimal equivalent for the fractional part 5/46 in the above expression:
= 3 + 0.1087
= 3.1087
143/46 = 3.1087
Hence,
143/46 as a decimal is 3.1087
143/46 as a mixed number is 3 5/46