43/12 as a decimal and mixed number expansion provides the detailed information about what is 43/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
43/12 as a Decimal Expansion
43/12 = 3.5833
Hence,
43/12 as a decimal equals to 3.5833
where,
43/12 is a given fraction,
The decimal expansion of 43/12 is 3.5833
43/12 as a Mixed Number
43/12 = (36 + 7)/12
= 36/12 + 7/12
= 3 + 7/12
= 3 7/12
43/12 = 3 7/12
Hence,
43/12 as a mixed number is 3 7/12
where,
43/12 is a given fraction,
3 7/12 is the mixed number representation of 43/12.
The below work with steps provide the detailed information about how to convert fraction 43/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 43/12
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 43/12.
step 2 The numerator is greater than the denominator of the fraction 43/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 43/12
= 36 + 7/12
= (3 x 12) + 7/12
step 3 Make the above expression as individual fractions:
= (3 x 12)/12 + 7/12
step 4 Simplify the above expression:
= 3 x 12/12 + 7/12
= 3 + 7/12
3 + 7/12 can be written as a mixed number 3 7/12.
step 5 Find the decimal equivalent for the fractional part 7/12 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 7/12. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 7/12.
= 3 + (7/12 x 100/100)
step 6 Simplify the above expression further:
= 3 + (700/12 x 1/100)
= 3 + (696 + 4/12 x 1/100)
= 3 + [(696/12 + 4/12 ) x 1/100]
= 3 + [(58 + 4/12) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 4/12 in the above expression:
= 3 + [(58 + 4/12) x 1/100]
= 3 + [(58 + 0.33) x 1/100]
= 3 + (58.33 x 1/100)
= 3 + 58.33/100
= 3 + 0.5833
step 8 Find the sum of above expression:
= 3 + 0.5833
= 3.5833
43/12 = 3.5833
Hence,
43/12 as a decimal is 3.5833
43/12 as a mixed number is 3 7/12