143/42 as a decimal and mixed number expansion provides the detailed information about what is 143/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
143/42 as a Decimal
143/42 = 3.4048
Hence,
143/42 as a decimal equals to 3.4048
where,
143/42 is a given fraction,
The decimal expansion of 143/42 is 3.4048
143/42 as a Mixed Number
143/42 = (126 + 17)/42
= 126/42 + 17/42
= 3 + 17/42
= 3 17/42
143/42 = 3 17/42
Hence,
143/42 as a mixed number is 3 17/42
where,
143/42 is a given fraction,
3 17/42 is the mixed number representation of 143/42.
The below work with steps provide the detailed information about how to convert fraction 143/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 143/42
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 143/42.
step 2 The numerator is greater than the denominator of the fraction 143/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 143/42
= 126 + 17/42
= (3 x 42) + 17/42
step 3 Make the above expression as individual fractions:
= (3 x 42)/42 + 17/42
step 4 Simplify the above expression:
= 3 x 42/42 + 17/42
= 3 + 17/42
3 + 17/42 can be written as a mixed number 3 17/42.
step 5 Find the decimal equivalent for the fractional part 17/42 in the above expression:
= 3 + 0.4048
= 3.4048
143/42 = 3.4048
Hence,
143/42 as a decimal is 3.4048
143/42 as a mixed number is 3 17/42