Question

3 8/15-(1 2/5 + 3/10) 3 3/8*1/2:9/16

Answer 1

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Answer 2

Ответ:

Пошаговое объяснение:

Answer 3

To simplify the given expression, let's break it down step by step:

Step 1: Add the fractions inside the parentheses: 1 2/5 + 3/10

To add these fractions, we need a common denominator. The least common multiple of 5 and 10 is 10. We can convert 1 2/5 to an improper fraction:

1 2/5 = (5 * 1 + 2)/5 = 7/5

Now, we can rewrite the expression as:

7/5 + 3/10

Since the denominators are already the same, we can add the numerators:

7/5 + 3/10 = (7 * 2 + 3)/10 = 17/10

Step 2: Multiply the mixed numbers:

3 3/8 * 1/2

To multiply mixed numbers, we need to convert them to improper fractions:

3 3/8 = (8 * 3 + 3)/8 = 27/8

Now we can multiply the fractions:

27/8 * 1/2 = (27 * 1)/(8 * 2) = 27/16

Step 3: Divide the fraction:

27/16 ÷ 9/16

To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:

27/16 * 16/9 = (27 * 16)/(16 * 9) = 432/144 = 3

Step 4: Subtract the fractions:

3 8/15 - 3

To subtract these fractions, we need a common denominator. The least common multiple of 15 and 1 is 15. We can convert 3 to a fraction with a denominator of 15:

3 = 3/1

Now we can rewrite the expression as:

3 8/15 - 3/1

Since the denominators are already the same, we can subtract the numerators:

(3 * 15 + 8)/15 - 3/1 = (45 + 8)/15 - 3/1 = 53/15 - 45/15 = 8/15

Therefore, the simplified expression is 8/15.