3/8x11 3/5x5/7 3/4x2 2/5x5/6 7/8x1/2
9x9
To solve these multiplication problems involving fractions, you need to follow a few steps. Let's go through each expression one by one.
1) 3/8 x 11:
To multiply fractions, you simply multiply the numerators (top numbers) together and the denominators (bottom numbers) together. So, we have (3 x 11) / (8 x 1) = 33/8.
2) 3/5 x 5/7:
Similarly, multiplying the numerators and the denominators, we get (3 x 5) / (5 x 7) = 15/35. However, this fraction can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 15 and 35 is 5. When we divide both the numerator and denominator by 5, we get 3/7.
3) 3/4 x 2:
Again, multiply the numerators and denominators to get (3 x 2) / (4 x 1) = 6/4, which can be simplified by dividing both the numerator and denominator by their GCD of 2, resulting in 3/2.
4) 2/5 x 5/6:
Multiplying (2 x 5) / (5 x 6) gives us 10/30. This fraction can be further simplified by dividing both the numerator and denominator by their GCD of 10, which is 10 itself. So, we have 1/3.
5) 7/8 x 1/2:
Following the same steps, we have (7 x 1) / (8 x 2) = 7/16.
In summary:
3/8 x 11 = 33/8
3/5 x 5/7 = 3/7
3/4 x 2 = 3/2
2/5 x 5/6 = 1/3
7/8 x 1/2 = 7/16