Question

Помогите понять дроби умножение и деление обыкновенных дробей

Answer 1

Умножение дробей:
1) Перемножаем числители
2) Перемножаем знаменатели
Пример: $\frac{2}{3} * \frac{4}{5}= \frac{2*4}{3*5}= \frac{12}{15}$
Деление дробей:
1) Переворачиваем вторую дробь
2) Ставим за место деления умножение и по алгоритму умножения.
Пример: $\frac{15}{12}: \frac{4}{5}= \frac{15}{12}* \frac{5}{4}= \frac{15*5}{12*4}= \frac{75}{48}$

Answer 2

Чтобы умножить одну дробь на другую, нужно перемножить их числители и записать число в числитель, перемножить знаменатели и записать получившийся результат в знаменатель.
5       3         5*3         15
6   *   8  =     6*8  =     48

чтобы одну дробь разделить на другую, нужно первую дробь умножить на перевернутую вторую
5      3         5       8       5*6         30
6   :  8   =    6   *   3   =  6*3  =     18

Answer 3

Understanding Multiplication of Fractions

Multiplying fractions involves multiplying the numerators and multiplying the denominators. The resulting product is the product of the two fractions. Here's how it works:

1. Multiply the numerators together. 2. Multiply the denominators together. 3. Simplify the resulting fraction, if possible.

For example, let's multiply the fractions 2/3 and 5/8:

1. Multiply the numerators: 2 * 5 = 10. 2. Multiply the denominators: 3 * 8 = 24. 3. Simplify the resulting fraction, if possible. In this case, the fraction cannot be simplified further.

Therefore, the product of 2/3 and 5/8 is 10/24.

Understanding Division of Fractions

Dividing fractions involves multiplying the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping the numerator and the denominator. Here's how it works:

1. Multiply the first fraction by the reciprocal of the second fraction. 2. Simplify the resulting fraction, if possible.

For example, let's divide the fraction 7/3 by 2/5:

1. Multiply the first fraction (7/3) by the reciprocal of the second fraction (5/2). - 7/3 * 5/2 = (7 * 5) / (3 * 2) = 35/6. 2. Simplify the resulting fraction, if possible. In this case, the fraction cannot be simplified further.

Therefore, the division of 7/3 by 2/5 is 35/6.

Additional Information

- When multiplying or dividing fractions, it is important to simplify the resulting fraction, if possible. This means reducing the fraction to its simplest form by dividing both the numerator and the denominator by their greatest common divisor. - To add or subtract fractions, the fractions must have the same denominator. If the denominators are different, they need to be converted to a common denominator before performing the addition or subtraction. - The symbols used in fraction operations are as follows: - "+" represents addition. - "-" represents subtraction. - "×" represents multiplication. - "÷" represents division. - "=" represents equality.

I hope this helps you understand multiplication and division of fractions! Let me know if you have any further questions.