Question

ДАЮ 50 БАЛЛОВ!!сложить,сравнить и вычитать дроби с разными знаменателями.Придумать по этой теме 5 примеров,ПРИМЕРОВ ОК ДА??​

Answer 1

Ответ:

1. $\frac{7}{9}$  $+\frac{2}{3}$

2. $\frac{5}{7} + \frac{3}{14}$

3. $\frac{4}{3} - \frac{1}{21}$

4. $\frac{3}{2} < \frac{21}{6}$

5. $\frac{6}{21} = \frac{12}{42}$

Answer 2

Adding, Comparing, and Subtracting Fractions with Different Denominators

When adding, comparing, and subtracting fractions with different denominators, there are a few steps you can follow to simplify the process. Here are five examples to illustrate these operations:

Example 1: Adding Fractions Let's add the fractions 1/4 and 3/8.

To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 4 and 8 is 8. We can rewrite the fractions with the common denominator: 1/4 = 2/8 3/8 = 3/8

Now, we can add the fractions: 2/8 + 3/8 = 5/8

Therefore, 1/4 + 3/8 = 5/8.

Example 2: Comparing Fractions Let's compare the fractions 2/5 and 3/7.

To compare fractions with different denominators, we can find a common denominator or use cross-multiplication. Let's use cross-multiplication in this example: 2/5 ? 3/7

Cross-multiplication involves multiplying the numerator of the first fraction by the denominator of the second fraction and vice versa. Then, we compare the results: 2 * 7 = 14 5 * 3 = 15

Since 14 < 15, we can conclude that 2/5 is less than 3/7.

Example 3: Subtracting Fractions Let's subtract the fraction 2/3 from 5/6.

To subtract fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 3 and 6 is 6. We can rewrite the fractions with the common denominator: 5/6 = 5/6 2/3 = 4/6

Now, we can subtract the fractions: 5/6 - 4/6 = 1/6

Therefore, 5/6 - 2/3 = 1/6.

Example 4: Adding Mixed Numbers Let's add the mixed numbers 1 1/2 and 2 3/4.

To add mixed numbers, we first convert them to improper fractions. Then, we follow the steps for adding fractions with different denominators.

1 1/2 = 3/2 2 3/4 = 11/4

Now, we can add the fractions: 3/2 + 11/4 = 6/4 + 11/4 = 17/4

To simplify the result, we can convert the improper fraction back to a mixed number: 17/4 = 4 1/4

Therefore, 1 1/2 + 2 3/4 = 4 1/4.

Example 5: Subtracting Mixed Numbers Let's subtract the mixed number 3 1/2 from 4 3/4.

To subtract mixed numbers, we first convert them to improper fractions. Then, we follow the steps for subtracting fractions with different denominators.

4 3/4 = 19/4 3 1/2 = 7/2

Now, we can subtract the fractions: 19/4 - 7/2 = 19/4 - 14/4 = 5/4

To simplify the result, we can convert the improper fraction back to a mixed number: 5/4 = 1 1/4

Therefore, 4 3/4 - 3 1/2 = 1 1/4.

I hope these examples help you understand how to add, compare, and subtract fractions with different denominators. Let me know if you have any further questions!