Multiplying Mixed Numbers: 1 3/4 x 2 4/5
In this article, we will learn how to multiply two mixed numbers: 1 3/4 and 2 4/5.
Step 1: Convert Mixed Numbers to Improper Fractions
To multiply mixed numbers, we need to convert them to improper fractions first. Here are the conversions:
- 1 3/4 = 7/4
- 2 4/5 = 14/5
Step 2: Multiply the Numerators and Denominators
Now, we multiply the numerators (7 and 14) and the denominators (4 and 5):
- Numerators: 7 × 14 = 98
- Denominators: 4 × 5 = 20
Step 3: Write the Product as a Mixed Number
So, the product of 1 3/4 and 2 4/5 is:
98/20
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2:
98 ÷ 2 = 49 20 ÷ 2 = 10
So, the simplified product is:
49/10
To convert this improper fraction to a mixed number, we divide the numerator by the denominator:
49 ÷ 10 = 4 with a remainder of 9
So, the final answer is:
4 9/10
There you have it! The product of 1 3/4 and 2 4/5 is 4 9/10.
