Question

1)-4/15(-7/10) 2) -7+8/11 3)-1 5/9+3 5/7​

Answer 1

1) –29/30.

2) 6 3/11.

3) 2 10/63.

Answer 2

Let's simplify each of these expressions:

1. -4/15 * (-7/10):

To multiply two fractions, simply multiply their numerators (top numbers) together and their denominators (bottom numbers) together.

(-4/15) * (-7/10) = (4 * 7) / (15 * 10) = 28/150

You can simplify this fraction further by finding the greatest common divisor (GCD) of 28 and 150, which is 2:

(28/2) / (150/2) = 14/75

So, -4/15 * (-7/10) simplifies to 14/75.

2. -7 + 8/11:

To add an integer to a fraction, you need to make them have a common denominator. In this case, the common denominator is 11.

-7 can be written as -77/11 (by multiplying both numerator and denominator by 11).

Now, you can add the fractions:

-77/11 + 8/11 = (-77 + 8) / 11 = -69/11

So, -7 + 8/11 simplifies to -69/11.

3. -1 5/9 + 3 5/7:

To add mixed numbers, you first add the whole numbers and then add the fractions separately.

Whole numbers: -1 + 3 = 2

Now, let's add the fractions. The common denominator is 63 (9 * 7):

(5/9) + (3/7) = (35/63) + (27/63)

Now, add the fractions:

(35/63) + (27/63) = (35 + 27) / 63 = 62/63

So, -1 5/9 + 3 5/7 simplifies to 2 62/63.