Question

Дроби 18/7×4/9+15/14

Answer 1

2/7 • 4/1 + 15/14=16/14 + 15/14=31/14=2 целых 3/14

Answer 2

To solve this expression involving fractions, follow the order of operations (PEMDAS/BODMAS - Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction):

1. Perform multiplication and division from left to right: 18/7 × 4/9 = (18 × 4) / (7 × 9) = 72 / 63

2. Add the fractions: 72 / 63 + 15/14

To add these fractions, they need a common denominator. The least common multiple (LCM) of 63 and 14 is 126, so we'll convert the fractions to have a denominator of 126:

3. Convert 72/63 to an equivalent fraction with a denominator of 126: (72/63) × (2/2) = 144/126

4. Convert 15/14 to an equivalent fraction with a denominator of 126: (15/14) × (9/9) = 135/126

Now, the expression becomes:

(144/126) + (135/126)

5. Add the fractions: (144 + 135) / 126 = 279 / 126

The fraction 279/126 can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator, and then dividing both by the GCD:

6. Find the GCD of 279 and 126: GCD(279, 126) = 9

7. Simplify the fraction: (279 / 9) / (126 / 9) = 31 / 14

So, the final result is 31/14.