27- Find the difference. $$ 1 \frac{3}{24}-\frac{5}{12}=\ldots \ldots \ldots \ldots $$

Question

UpStudy AI · Accepted Answer

To find the difference between $$ 1 \frac{3}{24} $$ and $$ \frac{5}{12} $$, follow these steps:

1. **Convert the Mixed Number to an Improper Fraction:**

The mixed number $$ 1 \frac{3}{24} $$ can be converted to an improper fraction.

$$
   1 \frac{3}{24} = \frac{(1 \times 24) + 3}{24} = \frac{24 + 3}{24} = \frac{27}{24}
   $$

2. **Convert $$\frac{5}{12}$$ to a Fraction with the Same Denominator:**

To subtract the two fractions, they must have the same denominator. The least common denominator (LCD) of 24 and 12 is 24.

$$
   \frac{5}{12} = \frac{5 \times 2}{12 \times 2} = \frac{10}{24}
   $$

3. **Subtract the Fractions:**

Now, subtract the second fraction from the first:

$$
   \frac{27}{24} - \frac{10}{24} = \frac{27 - 10}{24} = \frac{17}{24}
   $$

4. **Final Answer:**

$$
   1 \frac{3}{24} - \frac{5}{12} = \frac{17}{24}
   $$

**Answer:** $$\boxed{\dfrac{17}{24}}$$
The difference is $$\frac{17}{24}$$.

27- Find the difference. \[ 1 \frac{3}{24}-\frac{5}{12}=\ldots \ldots \ldots \ldots \]