Subtracting Dissimilar fraction and Mixed numbee

Ask by Carroll Fleming. in the Philippines

Jan 21,2025

Question

Subtracting Dissimilar fraction and Mixed numbee $$ 1, \frac{3}{4}-\frac{1}{5}= $$

UpStudy AI · Accepted Answer

To subtract the mixed number $$1 \frac{3}{4}$$ and the fraction $$\frac{1}{5}$$, follow these steps:

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

$$
   1 \frac{3}{4} = \frac{4 \times 1 + 3}{4} = \frac{7}{4}
   $$

2. **Set Up the Subtraction:**

$$
   \frac{7}{4} - \frac{1}{5}
   $$

3. **Find a Common Denominator:**

The least common denominator (LCD) of 4 and 5 is 20.

$$
   \frac{7}{4} = \frac{7 \times 5}{4 \times 5} = \frac{35}{20}
   $$
   
   $$
   \frac{1}{5} = \frac{1 \times 4}{5 \times 4} = \frac{4}{20}
   $$

4. **Perform the Subtraction:**

$$
   \frac{35}{20} - \frac{4}{20} = \frac{31}{20}
   $$

5. **Convert Back to a Mixed Number (if desired):**

$$
   \frac{31}{20} = 1 \frac{11}{20}
   $$

**Final Answer:**

$$
1 \frac{3}{4} - \frac{1}{5} = 1 \frac{11}{20}
$$
$$1 \frac{11}{20}$$

Subtracting Dissimilar fraction and Mixed numbee