Question

(1 5/8+19/24-1 1/12)*x=1

Answer 1

(1 5/8+19/24-1 1/12)*x=1
(13/8+19/24-13/12)*x=1
(39+19-26)/24*x=1
32/24*x=1
4/3*x=1
x=3/4

Answer 2

1) 1 5/8 + 19/24=13/8+19/24=39/24+19/24=58/24=29/12
2) 29/12-1 1/12=29/12-13/12=16/12=4/3
3) 4/3х=1
    х=1:4/3=1*3/4
    х=3/4

Answer 3

To solve the equation $(1\frac{5}{8} + \frac{19}{24} - 1\frac{1}{12})x = 1$, you'll want to follow these steps:

Step 1: Simplify the left side of the equation.

First, convert all the mixed numbers into improper fractions:

• $1\frac{5}{8}$ as an improper fraction is $\frac{13}{8}$.
• $1\frac{1}{12}$ as an improper fraction is $\frac{13}{12}$.

Now, rewrite the equation: $(\frac{13}{8} + \frac{19}{24} - \frac{13}{12})x = 1$.

Step 2: Find a common denominator for the fractions on the left side of the equation. The common denominator for 8, 24, and 12 is 24. Adjust the fractions accordingly:

$(\frac{13}{8}\cdot\frac{3}{3} + \frac{19}{24}\cdot\frac{1}{1} - \frac{13}{12}\cdot\frac{2}{2})x = 1$.

This gives us: $(\frac{39}{24} + \frac{19}{24} - \frac{26}{24})x = 1$.

Step 3: Combine the fractions on the left side:

$(\frac{39 + 19 - 26}{24})x = 1$.

Simplify further: $(\frac{32}{24})x = 1$.

Step 4: Reduce the fraction on the left side:

$(\frac{4}{3})x = 1$.

Step 5: Isolate x by dividing both sides by $\frac{4}{3}$:

$x = \frac{1}{\frac{4}{3}}$.

Step 6: To divide by a fraction, multiply by its reciprocal (flip it):

$x = 1 \cdot \frac{3}{4}$.

Step 7: Simplify the expression on the right side:

$x = \frac{3}{4}$.

So, the solution to the equation is $x = \frac{3}{4}$.