Tina uses 4 5/12yards of wire for her sience project. Kelvin uses 1 2/3 yards of wire for his project. How many yards of wire do they use altogether?
4 5/12 + 1 8/12 = ?
I need that in multiplication please.
Why? This is an addition problem.
To find the total amount of wire used by Tina and Kelvin together, we need to add the lengths of wire they each used.
Tina used 4 5/12 yards of wire, which is equivalent to (4 + 5/12) yards.
To add mixed numbers, we first convert the mixed number to an improper fraction.
4 is the whole number, and 5/12 is the fraction. Multiplying the whole number (4) by the denominator (12) and adding the numerator (5), we get: 4 × 12 + 5 = 48 + 5 = 53.
So, 4 5/12 yards is equivalent to 53/12 yards.
Kelvin used 1 2/3 yards of wire, which is equivalent to (1 + 2/3) yards.
Again, converting the mixed number to an improper fraction, we get: 1 × 3 + 2 = 3 + 2 = 5.
So, 1 2/3 yards is equivalent to 5/3 yards.
Now, we can add the fractions:
53/12 + 5/3
To add these fractions, they need to have a common denominator. The least common multiple (LCM) of 12 and 3 is 12.
Multiplying the numerator and denominator of the first fraction (53/12) by 1 (to keep it the same), we get: (53 × 1)/(12 × 1) = 53/12.
Multiplying the numerator and denominator of the second fraction (5/3) by 4 (to make the denominator 12), we get: (5 × 4)/(3 × 4) = 20/12.
Now we can add the fractions with the same denominator:
53/12 + 20/12 = (53 + 20)/12 = 73/12.
Therefore, Tina and Kelvin used a total of 73/12 yards of wire altogether.