Question

Выполните умножение 1/4×2/3 4/9×1/2 2/3×3/8 5/12×8/9 15/16×8/25 1/2×2/3 3/4×1/6 7/15×5/7 /-это дробь, помогите плиз меня тогда не было на уроки и побольше объяснении

Answer 1

1/4 ×2/3 =1/4 × 2/3 = 1/2 × 2/3= 2/6 4/9×1/2=2/9×1/1=2/9 2/3×3/8=2/3×3/8=2/3×3/4=6/12 5/12×8/9=5/12×8/9=5/3×2/9=10/27 15/16×8/25=3/2×1/5=3/10 1/2×2/3=1/1×1/3=1/3 3/4×1/6=1/4×1/2=1/8 7/15×5/7=1/3×1/1=1/3

Answer 2

Multiplication of Fractions

To perform the multiplication of fractions, we can follow these steps:

1. Multiply the numerators (the numbers on top) together. 2. Multiply the denominators (the numbers on the bottom) together. 3. Simplify the resulting fraction, if possible.

Let's apply these steps to the given fractions:

1/4 × 2/3: - Multiply the numerators: 1 × 2 = 2. - Multiply the denominators: 4 × 3 = 12. - The result is 2/12.

4/9 × 1/2: - Multiply the numerators: 4 × 1 = 4. - Multiply the denominators: 9 × 2 = 18. - The result is 4/18.

2/3 × 3/8: - Multiply the numerators: 2 × 3 = 6. - Multiply the denominators: 3 × 8 = 24. - The result is 6/24.

5/12 × 8/9: - Multiply the numerators: 5 × 8 = 40. - Multiply the denominators: 12 × 9 = 108. - The result is 40/108.

15/16 × 8/25: - Multiply the numerators: 15 × 8 = 120. - Multiply the denominators: 16 × 25 = 400. - The result is 120/400.

1/2 × 2/3: - Multiply the numerators: 1 × 2 = 2. - Multiply the denominators: 2 × 3 = 6. - The result is 2/6.

3/4 × 1/6: - Multiply the numerators: 3 × 1 = 3. - Multiply the denominators: 4 × 6 = 24. - The result is 3/24.

7/15 × 5/7: - Multiply the numerators: 7 × 5 = 35. - Multiply the denominators: 15 × 7 = 105. - The result is 35/105.

Now, let's simplify the fractions:

2/12 can be simplified to 1/6 by dividing both the numerator and denominator by their greatest common divisor, which is 2.

4/18 can be simplified to 2/9 by dividing both the numerator and denominator by their greatest common divisor, which is 2.

6/24 can be simplified to 1/4 by dividing both the numerator and denominator by their greatest common divisor, which is 6.

40/108 can be simplified to 10/27 by dividing both the numerator and denominator by their greatest common divisor, which is 4.

120/400 can be simplified to 3/10 by dividing both the numerator and denominator by their greatest common divisor, which is 40.

2/6 can be simplified to 1/3 by dividing both the numerator and denominator by their greatest common divisor, which is 2.

3/24 can be simplified to 1/8 by dividing both the numerator and denominator by their greatest common divisor, which is 3.

35/105 can be simplified to 1/3 by dividing both the numerator and denominator by their greatest common divisor, which is 35.

Therefore, the results of the given multiplications are:

1/4 × 2/3 = 1/6 4/9 × 1/2 = 2/9 2/3 × 3/8 = 1/4 5/12 × 8/9 = 10/27 15/16 × 8/25 = 3/10 1/2 × 2/3 = 1/3 3/4 × 1/6 = 1/8 7/15 × 5/7 = 1/3

Please let me know if you have any further questions!