Question

А) 5/12-3/12; б)3/5 + 1/3; в) 9/7 ∙ 21/27 г) 7/9÷14/5.

Answer 1

Ответ:

а) 5/12-3/12=2/12=1/6

б) 3/5+1/3=9/15+5/15=14/15

в) 9/7*21/27=3/3=1

г) 7/9:14/5=7/9*5/14=5/18

Пошаговое объяснение:

Answer 2

Ответ:

1) 1/6

2)4/15

3)1

4)98/135

Answer 3

a) 5/12 - 3/12:

To subtract fractions, we need to have a common denominator. In this case, the denominators are already the same (both are 12). So, we can simply subtract the numerators: 5/12 - 3/12 = (5 - 3)/12 = 2/12.

However, it is also possible to simplify the fraction. Both 2 and 12 can be divided by 2, so we get: 2/12 = 1/6.

Therefore, the result of the expression 5/12 - 3/12 is 1/6.

b) 3/5 + 1/3:

To add fractions, we need to have a common denominator. In this case, the denominators are different (5 and 3). To find a common denominator, we can multiply the two denominators together: 3/5 + 1/3 = (3/5) * (3/3) + (1/3) * (5/5) = 9/15 + 5/15.

Now that the denominators are the same, we can simply add the numerators: 9/15 + 5/15 = (9 + 5)/15 = 14/15.

Therefore, the result of the expression 3/5 + 1/3 is 14/15.

c) 9/7 * 21/27:

To multiply fractions, we simply multiply the numerators together and the denominators together: (9/7) * (21/27) = (9 * 21)/(7 * 27).

Now we can simplify the fraction. Both 9 and 27 can be divided by 9, and 21 and 7 can be divided by 7: (9 * 21)/(7 * 27) = (3 * 21)/(1 * 27) = 63/27.

However, we can simplify this fraction further. Both 63 and 27 can be divided by 9: 63/27 = (7 * 9)/(3 * 9) = 7/3.

Therefore, the result of the expression 9/7 * 21/27 is 7/3.

d) 7/9 ÷ 14/5:

To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping the numerator and the denominator: (7/9) ÷ (14/5) = (7/9) * (5/14).

Now we can simplify the fraction. Both 7 and 14 can be divided by 7, and 9 and 5 can be divided by 1: (7/9) * (5/14) = (1 * 1)/(3 * 2) = 1/6.

Therefore, the result of the expression 7/9 ÷ 14/5 is 1/6.