Question

5 4/15-3 4/7x равно 4 2/3

Answer 1

5 4/15-3 4/7х=4 2/3
79/15-25/7х=14/3
-25/7х=14/3-79/15
-25/7х=-9/15
х=9/15:25/7
х=3/5*7/25
х=21/125

Answer 2

To solve the equation 5 4/15 - 3 4/7x = 4 2/3, we need to perform some arithmetic operations.

First, let's convert the mixed numbers into improper fractions: 5 4/15 = (5 * 15 + 4) / 15 = 79/15 3 4/7 = (3 * 7 + 4) / 7 = 25/7 4 2/3 = (4 * 3 + 2) / 3 = 14/3

Now we can rewrite the equation as: 79/15 - 25/7x = 14/3

To simplify the equation, we need to find a common denominator for the fractions on both sides. The least common denominator (LCD) for 15, 7, and 3 is 105.

Multiplying all terms by 105, we get: 105 * (79/15) - 105 * (25/7x) = 105 * (14/3)

Simplifying further: 553/3 - (25 * 105/7)x = 490/3

Now let's simplify the equation by multiplying and combining like terms: (553/3) - (2625/7)x = 490/3

To eliminate the fractions, we can multiply the entire equation by 3 to clear the denominators: 3 * (553/3) - 3 * (2625/7)x = 3 * (490/3)

This simplifies to: 553 - (2625/7)x = 490

Next, let's isolate the term with 'x':

• (2625/7)x = 490 - 553
• (2625/7)x = -63

To solve for 'x', we divide both sides by -(2625/7) and simplify: x = (-63) / (-(2625/7)) x = (-63) * (7/2625) x = -441/2625

Therefore, the solution to the equation 5 4/15 - 3 4/7x = 4 2/3 is x = -441/2625.