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:
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.