Question

A) 9/20: 3/5 6) 5-4/9 B) 4/9:2/3 r) 2/7+3/5​

Answer 1

Короче,че поняла то и сделала

Answer 2

A) To simplify the expression 9/20 ÷ 3/5, we can convert the division into multiplication by taking the reciprocal of the second fraction. The reciprocal of 3/5 is 5/3. Therefore, the expression becomes:

9/20 × 5/3

To multiply fractions, multiply the numerators together and the denominators together:

(9 × 5) / (20 × 3) = 45/60

This fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor, which is 15:

45/60 ÷ 15/15 = (45 ÷ 15) / (60 ÷ 15) = 3/4

So, the simplified expression is 3/4.

B) To simplify the expression 4/9 ÷ 2/3, we again convert the division into multiplication by taking the reciprocal of the second fraction. The reciprocal of 2/3 is 3/2. The expression becomes:

4/9 × 3/2

Multiplying the numerators and denominators:

(4 × 3) / (9 × 2) = 12/18

This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 6:

12/18 ÷ 6/6 = (12 ÷ 6) / (18 ÷ 6) = 2/3

So, the simplified expression is 2/3.

R) To simplify the expression 2/7 + 3/5, we need to find a common denominator. The least common multiple (LCM) of 7 and 5 is 35.

Converting the fractions to have a denominator of 35:

(2/7) × (5/5) = 10/35

(3/5) × (7/7) = 21/35

Now, we can add the fractions with the same denominator:

10/35 + 21/35 = (10 + 21)/35 = 31/35

So, the simplified expression is 31/35.