Question

Сравните 3 и 31/15 7 и 50/6 29/3 и 9 111/6 и 17 символ / это дробная черта

Answer 1

3>31/15
7<50/6
29/3>9
111/6>17

Answer 2

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3.>
вот ответы

Answer 3

Comparing Fractions

To compare fractions, we need to find a common denominator for each pair of fractions. Let's compare the fractions you provided:

1. 3 and 31/15: To compare 3 and 31/15, we need to find a common denominator. The least common multiple (LCM) of 15 and 1 is 15. We can convert 3 to a fraction with a denominator of 15 by multiplying both the numerator and denominator by 5. This gives us 15/5. Now we can compare 15/5 and 31/15.

To compare fractions, we can cross-multiply. Cross-multiplying means multiplying the numerator of one fraction by the denominator of the other fraction. In this case, we have (15 * 15) and (31 * 5).

15 * 15 = 225 31 * 5 = 155

Since 225 is greater than 155, we can conclude that 3 is greater than 31/15.

2. 7 and 50/6: To compare 7 and 50/6, we need to find a common denominator. The LCM of 6 and 1 is 6. We can convert 7 to a fraction with a denominator of 6 by multiplying both the numerator and denominator by 6. This gives us 42/6. Now we can compare 42/6 and 50/6.

Again, we can cross-multiply: 42 * 6 = 252 50 * 6 = 300

Since 252 is less than 300, we can conclude that 7 is less than 50/6.

3. 29/3 and 9 111/6: To compare 29/3 and 9 111/6, we need to convert the mixed number 9 111/6 to an improper fraction. To do this, we multiply the whole number (9) by the denominator (6) and add the numerator (111). This gives us 9 * 6 + 111 = 165. The denominator remains the same, so the improper fraction is 165/6.

Now we can compare 29/3 and 165/6. We can find a common denominator by multiplying the denominators: 3 * 6 = 18.

To compare the fractions, we can cross-multiply: 29 * 6 = 174 165 * 3 = 495

Since 174 is less than 495, we can conclude that 29/3 is less than 9 111/6.

4. 111/6 and 17: To compare 111/6 and 17, we need to convert 17 to a fraction with a denominator of 6. We can do this by multiplying both the numerator and denominator by 6. This gives us 102/6. Now we can compare 111/6 and 102/6.

Again, we can cross-multiply: 111 * 6 = 666 102 * 6 = 612

Since 666 is greater than 612, we can conclude that 111/6 is greater than 17.

In summary: - 3 is greater than 31/15. - 7 is less than 50/6. - 29/3 is less than 9 111/6. - 111/6 is greater than 17.

Please let me know if you have any further questions!