Question

9 целых 2/15-3 целых 11/35=5 целых 3/11-4 целых 35/66=5 целых 9/10-4 целых 3/5=

Answer 1

Ответ:

1) 9 целых 2/15-3 целых 11/35=(137/15)-(116/35)=(7*137)/105-(3*116)/105=611/105=5 целых 86/105

2) 5 целых 3/11-4 целых 35/66=(58/11)-(299/66)=((58*6)/66)-(299/66)=49/66

3) 5 целых 9/10-4 целых 3/5=(59/10)-(23/5)=(59/10)-((23*2)/10)=13/10=1,3

Пошаговое объяснение:

Answer 2

To solve the given equations, we need to perform arithmetic operations with mixed numbers. Let's go step by step:

1. 9 2/15 - 3 11/35

Step 1: Convert all mixed numbers to improper fractions. 9 2/15 = (9 * 15 + 2) / 15 = 137 / 15 3 11/35 = (3 * 35 + 11) / 35 = 116 / 35

Step 2: Find the common denominator, which is 35 (LCM of 15 and 35). Now, we can rewrite both fractions with a common denominator: 137/15 = (137/15) * (35/35) = 4805/35 116/35

Step 3: Subtract the fractions. 4805/35 - 116/35 = (4805 - 116) / 35 = 4699/35

Step 4: Convert the result back to a mixed number. 4699/35 = 134 9/35

So, 9 2/15 - 3 11/35 = 5 3/35.

2. 5 3/11 - 4 35/66

Step 1: Convert all mixed numbers to improper fractions. 5 3/11 = (5 * 11 + 3) / 11 = 58 / 11 4 35/66 = (4 * 66 + 35) / 66 = 299 / 66

Step 2: Find the common denominator, which is 66. 58/11 = (58/11) * (6/6) = 348/66 299/66

Step 3: Subtract the fractions. 348/66 - 299/66 = (348 - 299) / 66 = 49/66

Step 4: Convert the result back to a mixed number. 49/66 = 0 49/66

So, 5 3/11 - 4 35/66 = 0 49/66.

3. 5 9/10 - 4 3/5

Step 1: Convert all mixed numbers to improper fractions. 5 9/10 = (5 * 10 + 9) / 10 = 59 / 10 4 3/5 = (4 * 5 + 3) / 5 = 23 / 5

Step 2: Find the common denominator, which is 10. 59/10 23/5 = (23/5) * (2/2) = 46/10

Step 3: Subtract the fractions. 59/10 - 46/10 = (59 - 46) / 10 = 13/10

Step 4: Convert the result back to a mixed number. 13/10 = 1 3/10

So, 5 9/10 - 4 3/5 = 1 3/10.

Therefore, the final answers are:

1. 9 2/15 - 3 11/35 = 5 3/35
2. 5 3/11 - 4 35/66 = 0 49/66
3. 5 9/10 - 4 3/5 = 1 3/10.