Question

4 5/9 * 5/8 + 5/8* 3 5/9= как решать такие примеры с дробями, можно ход решения

Answer 1

4 5/9*5/8=41/9*5/8=205/72=2 61/72
5/8*3 5/9=5/8*32/9=5/1*4/9=20/9=2 2/9
2 61/72+2 2/9=205/72+20/9=205/72+160/72=365/72=5 5/72

Answer 2

Solving the Fractional Equation

To solve the equation 4 5/9 * 5/8 + 5/8 * 3 5/9, we can follow these steps:

1. Convert mixed numbers to improper fractions. 2. Perform the multiplication and addition operations. 3. Simplify the resulting fraction, if necessary.

Step 1: Convert Mixed Numbers to Improper Fractions

The mixed numbers can be converted to improper fractions as follows: - 4 5/9 can be written as (4 * 9 + 5)/9 = 41/9 - 3 5/9 can be written as (3 * 9 + 5)/9 = 32/9

So, the equation becomes: 41/9 * 5/8 + 5/8 * 32/9

Step 2: Perform Multiplication and Addition

Now, we can perform the multiplication and addition operations: - 41/9 * 5/8 = (41 * 5)/(9 * 8) = 205/72 - 5/8 * 32/9 = (5 * 32)/(8 * 9) = 160/72

So, the equation becomes: 205/72 + 160/72

Step 3: Simplify the Resulting Fraction

Finally, we can add the two fractions together: - 205/72 + 160/72 = (205 + 160)/72 = 365/72

Final Answer

Therefore, the solution to the equation 4 5/9 * 5/8 + 5/8 * 3 5/9 is 365/72.