Question

1) 5/6 * 9/15 - 5/12 * 4/15

Answer 1

Ответ:

Пошаговое объяснение:

1)5/6×9/15=5×9/6×15

5 И 15 сокращаем по 5

9 И 6 по 3

1×3/2×5=3/10

2)5/12×4/15=5×4/12×15

5 И 15 сокращаем по 5

4 И 12 по 4

1/3×5=1/15

3)3/10-1/15=9/30-2/30=9-2/30=7/30=1/5=0,2

Ответ:0,2

Answer 2

To solve the expression, follow these steps:

Step 1: Find the common denominator for both fractions. Step 2: Perform the multiplication and subtraction.

Given expression: $\frac{5}{6} \cdot \frac{9}{15} - \frac{5}{12} \cdot \frac{4}{15}$

Step 1: Find the common denominator for both fractions. The least common multiple (LCM) of 6 and 15 is 30, and the LCM of 12 and 15 is also 30.

Step 2: Perform the multiplication and subtraction. $\frac{5}{6} \cdot \frac{9}{15} = \frac{5 \cdot 9}{6 \cdot 15} = \frac{45}{90} = \frac{1}{2}$

$\frac{5}{12} \cdot \frac{4}{15} = \frac{5 \cdot 4}{12 \cdot 15} = \frac{20}{180} = \frac{1}{9}$

Now, we have: $\frac{1}{2} - \frac{1}{9}$

Step 3: Find the common denominator for the subtraction. The LCM of 2 and 9 is 18.

Step 4: Perform the subtraction. $\frac{1}{2} - \frac{1}{9} = \frac{9}{18} - \frac{2}{18} = \frac{9-2}{18} = \frac{7}{18}$

So, the result of the expression is $\frac{7}{18}$.