Add fractions and decimals what is -3 1/6+5 3/4
To add the fractions, first find a common denominator.
The common denominator for the fractions 1/6 and 3/4 is 24.
Converting 1/6 to have a denominator of 24, it becomes 4/24.
Converting 3/4 to have a denominator of 24, it becomes 18/24.
Now we can add the fractions:
-3 1/6 + 5 3/4 = -3 + 5 + 4/24 + 18/24
Simplifying the whole numbers:
-3 + 5 = 2
Adding the fractions:
2 + 4/24 + 18/24 = 2 + (4 + 18)/24 = 2 + 22/24
Since both 22 and 24 are divisible by 2, we simplify the fraction:
2 + 22/24 = 2 + 11/12
Therefore, -3 1/6 + 5 3/4 is equal to 2 11/12 as a mixed number.
To add fractions, we need to make sure that they have a common denominator. In this case, the common denominator is 24. Now, let's convert the mixed numbers into improper fractions:
-3 1/6 = -3 × 6/6 + 1/6 = -18/6 + 1/6 = (-18 + 1)/6 = -17/6
5 3/4 = 5 × 4/4 + 3/4 = 20/4 + 3/4 = (20 + 3)/4 = 23/4
Now, let's add the two fractions:
-17/6 + 23/4
To add the fractions, we need to find a common denominator, which is 24:
((-17) × 4)/(6 × 4) + (23 × 6)/(4 × 6)
(-68/24) + (138/24)
Next, add the two fractions together:
-68/24 + 138/24 = (-68 + 138)/24 = 70/24
Now, we have the fraction 70/24. We can simplify it by dividing both the numerator and denominator by their greatest common divisor, which is 2:
(70 ÷ 2)/(24 ÷ 2) = 35/12
Therefore, -3 1/6 + 5 3/4 equals 35/12 as an improper fraction.