Question

7/18 * 9/14 + 1/3 * 6/7

Answer 1

Там все с помощью сокращения решается

Answer 2

To calculate the expression 7/18 * 9/14 + 1/3 * 6/7, follow these steps:

Step 1: Perform multiplication within each fraction. 7/18 * 9/14 = (7 * 9) / (18 * 14) = 63 / 252

1/3 * 6/7 = (1 * 6) / (3 * 7) = 6 / 21

Step 2: Simplify the fractions. 63/252 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 63: 63 ÷ 63 = 1 252 ÷ 63 = 4

So, 63/252 simplifies to 1/4.

6/21 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3: 6 ÷ 3 = 2 21 ÷ 3 = 7

So, 6/21 simplifies to 2/7.

Step 3: Add the simplified fractions. 1/4 + 2/7

To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 28 (the least common multiple of 4 and 7).

Step 4: Convert both fractions to have a denominator of 28. 1/4 = (1 * 7) / (4 * 7) = 7/28 2/7 = (2 * 4) / (7 * 4) = 8/28

Step 5: Add the fractions with the common denominator. 7/28 + 8/28 = 15/28

So, the result of the expression 7/18 * 9/14 + 1/3 * 6/7 is 15/28.