Question

1) 3/20 + 7/15 = 2) 6/35 + 3/10 = 3) 16/35 - 5/14 = 4) 8/15 - 4/9 = 5) 7/16 * 8/49 = 6) 5/6 * 3/20 =

Answer 1

Ответ:

1) 37/60

2)33/70

3)1/10

4) 4/45

5) 1/14

6) 1/8

Пошаговое объяснение:

1) 3/20+7/15=9+28/60=37/60

2)6/35 + 3/10 =12+21/70=33/70

3) 16/35 - 5/14 = 32-25/70=7/70=1/10

4) 8/15 - 4/9 = 24-20/45=4/45

5) 7/16 * 8/49 = 1/2*1/7(сократить на 7 и на 8)=1/2*1/7=1/14

6) 5/6 * 3/20 =1/2*1/4(сократить на 5 и на 3)=1/8

Answer 2

Let's solve the given arithmetic problems:

1. To add 3/20 and 7/15, we need a common denominator. The least common multiple of 20 and 15 is 60.

(3/20) + (7/15) = (9/60) + (28/60) = 37/60

Therefore, 3/20 + 7/15 = 37/60.

2. To add 6/35 and 3/10, we need a common denominator. The least common multiple of 35 and 10 is 70.

(6/35) + (3/10) = (12/70) + (21/70) = 33/70

Therefore, 6/35 + 3/10 = 33/70.

3. To subtract 5/14 from 16/35, we need a common denominator. The least common multiple of 14 and 35 is 70.

(16/35) - (5/14) = (32/70) - (25/70) = 7/70 = 1/10

Therefore, 16/35 - 5/14 = 1/10.

4. To subtract 4/9 from 8/15, we need a common denominator. The least common multiple of 9 and 15 is 45.

(8/15) - (4/9) = (24/45) - (20/45) = 4/45

Therefore, 8/15 - 4/9 = 4/45.

5. To multiply 7/16 and 8/49, we simply multiply the numerators and denominators.

(7/16) * (8/49) = (78)/(1649) = 56/784

We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 56.

56/784 = (1/14) * (1/11) = 1/154

Therefore, 7/16 * 8/49 = 1/154.

6. To multiply 5/6 and 3/20, we simply multiply the numerators and denominators.

(5/6) * (3/20) = (53)/(620) = 15/120

We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 15.

15/120 = (1/8) * (1/8) = 1/64

Therefore, 5/6 * 3/20 = 1/64.