Question

4/7 х 1/3=? 7/30 х 1 2/3=? 5 х 2/9=? 3/4 : 5/8=? 4/9 : 6=?

Answer 1

Пошаговое объяснение:

4/7 х 1/3=4/21

7/30 х 1 2/3=7/30*5/3=7/17

5 х 2/9=10/9=1 1/9

3/4 : 5/8=3/4*8/5=6/5=1 1/5

4/9 : 6=4/9*1/6=2/27

Answer 2

Let's solve each of these mathematical expressions step by step:

1. 4/7 × 1/3 To multiply fractions, simply multiply the numerators together and multiply the denominators together: (4 × 1) / (7 × 3) = 4/21

2. 7/30 × 1 2/3 To multiply a whole number by a fraction, convert the whole number to a fraction first. 1 2/3 can be written as (3 × 1 + 2) / 3 = 5/3 Now, multiply the fractions: (7/30) × (5/3) = (7 × 5) / (30 × 3) = 35/90

   To simplify the fraction, divide both numerator and denominator by their greatest common divisor, which is 5: (35 ÷ 5) / (90 ÷ 5) = 7/18

3. 5 × 2/9 To multiply a whole number by a fraction, simply multiply the whole number and the numerator of the fraction: 5 × 2/9 = 10/9

4. 3/4 ÷ 5/8 To divide fractions, multiply the first fraction by the reciprocal of the second fraction: (3/4) ÷ (5/8) = (3/4) × (8/5) = (3 × 8) / (4 × 5) = 24/20

   To simplify the fraction, divide both numerator and denominator by their greatest common divisor, which is 4: (24 ÷ 4) / (20 ÷ 4) = 6/5

5. 4/9 ÷ 6 To divide a fraction by a whole number, keep the fraction and multiply it by the reciprocal of the whole number: (4/9) ÷ 6 = (4/9) × (1/6) = 4/54

   To simplify the fraction, divide both numerator and denominator by their greatest common divisor, which is 2: (4 ÷ 2) / (54 ÷ 2) = 2/27

So the answers are:

1. 4/7 × 1/3 = 4/21
2. 7/30 × 1 2/3 = 7/18
3. 5 × 2/9 = 10/9
4. 3/4 ÷ 5/8 = 6/5
5. 4/9 ÷ 6 = 2/27