Question

(5/6-13/24):(1/2+2/3)​

Answer 1

Ответ:

0,25

Объяснение:

$(\frac{5}{6}-\frac{13}{24} )/(\frac{1}{2}+\frac{2}{3})= ( \frac{5*24-13*6}{24*6} )/(\frac{1*3+2*2}{3*2} )= (\frac{42}{144} )/(\frac{7}{6} )=\frac{42}{144} *\frac{6}{7} = \frac{42*6}{144*7} = \frac{252}{1008} =0,25$

Answer 2

To simplify the expression (5/6 - 13/24) ÷ (1/2 + 2/3), you need to perform the following steps:

Step 1: Simplify the fractions in the expression. Step 2: Perform the operations from left to right.

Step 1: Simplify the fractions 5/6 - 13/24: To subtract fractions, you need to find a common denominator. The least common multiple (LCM) of 6 and 24 is 24.

5/6 = (5 * 4) / (6 * 4) = 20/24 13/24 (already in the simplest form)

Now the expression becomes: (20/24 - 13/24) ÷ (1/2 + 2/3)

1/2 + 2/3: To add fractions, you need to find a common denominator. The least common multiple (LCM) of 2 and 3 is 6.

1/2 = (1 * 3) / (2 * 3) = 3/6 2/3 = (2 * 2) / (3 * 2) = 4/6

Now the expression becomes: (20/24 - 13/24) ÷ (3/6 + 4/6)

Step 2: Perform the operations from left to right (20/24 - 13/24) ÷ (3/6 + 4/6): First, perform the subtraction and addition inside the parentheses:

(20/24 - 13/24) = 7/24 (3/6 + 4/6) = 7/6

Now the expression becomes: 7/24 ÷ 7/6

To divide fractions, you invert the divisor (second fraction) and multiply:

7/24 ÷ 7/6 = 7/24 * 6/7

Now, simplify the fraction:

7/24 * 6/7 = (7 * 6) / (24 * 7) = 42/168

Since 42 and 168 have a common factor of 42, you can simplify further:

42/168 = (42 ÷ 42) / (168 ÷ 42) = 1/4

So, the final simplified result is 1/4.