Question

5 2/7*1 1/4 +5 2/7*1 3/4

Answer 1

Общий множитель 5 2/7 вынесем за скобки:

= 5 2/7 · (1 1/4 + 1 3/4) = 5 2/7 · (2 4/4) = 37/7 · 3 = 111/7 = 15 целых 6/7

Ответ: 15 целых 6/7.

Пояснения:

5 2/7 = (5·7+2)/7 = 37/7

Answer 2

To solve this expression, you can follow these steps:

Step 1: Convert mixed numbers to improper fractions.

• 5 2/7 = (7 * 5 + 2) / 7 = 37/7
• 1 1/4 = (4 * 1 + 1) / 4 = 5/4
• 1 3/4 = (4 * 1 + 3) / 4 = 7/4

So the expression becomes: (37/7) * (5/4) + (37/7) * (7/4)

Step 2: Multiply the fractions.

(37/7) * (5/4) = (37 * 5) / (7 * 4) = 185/28

(37/7) * (7/4) = (37 * 7) / (7 * 4) = 37/4

Step 3: Add the two fractions together.

(185/28) + (37/4)

To add these fractions, you need to find a common denominator, which is 28. So, you'll need to convert 37/4 to an equivalent fraction with a denominator of 28:

(37/4) * (7/7) = (259/28)

Now that both fractions have a common denominator, you can add them:

(185/28) + (259/28) = (185 + 259) / 28 = 444/28

Step 4: Simplify the fraction by finding the greatest common divisor (GCD) of 444 and 28, which is 4:

(444/4) / (28/4) = 111/7

So, the final result is 111/7.