14/15×13/17+7/10×3/14

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вопрос

To simplify this expression, follow the order of operations (parentheses, exponents, multiplication and division, from left to right, and addition and subtraction, from left to right):

14/15 × 13/17 + 7/10 × 3/14

First, multiply the fractions:

14/15 × 13/17 = 182/255

7/10 × 3/14 = 21/140

Now, add the results together:

182/255 + 21/140

To add fractions, you need to have a common denominator. The least common denominator (LCD) for 255 and 140 is 3570. So, we need to find equivalent fractions for both fractions with a denominator of 3570:

(182/255) × (14/14) = 2548/3570

(21/140) × (25/25) = 525/3570

Now, add them together:

2548/3570 + 525/3570 = 3073/3570

Therefore, 14/15 × 13/17 + 7/10 × 3/14 = 3073/3570.