Question

1)x-5/12=4/15 2)5/24+x=7/16

Answer 1

Ответ:

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Answer 2

To solve the given equations for $x$, let's go through each step by step.

Equation 1: $x - \frac{5}{12} = \frac{4}{15}$

Step 1: Add $\frac{5}{12}$ to both sides to isolate $x$:

$x = \frac{4}{15} + \frac{5}{12}$

Step 2: Find a common denominator, which in this case is 60:

$x = \frac{16}{60} + \frac{25}{60}$

Step 3: Add the fractions:

$x = \frac{41}{60}$

So, the solution for Equation 1 is $x = \frac{41}{60}$.

Equation 2: $\frac{5}{24} + x = \frac{7}{16}$

Step 1: Subtract $\frac{5}{24}$ from both sides to isolate $x$:

$x = \frac{7}{16} - \frac{5}{24}$

Step 2: Find a common denominator, which in this case is 48:

$x = \frac{21}{48} - \frac{10}{48}$

Step 3: Subtract the fractions:

$x = \frac{11}{48}$

So, the solution for Equation 2 is $x = \frac{11}{48}$.