Multiplying Mixed Numbers: 1 1/7 x 1 3/4
This article will walk you through the process of multiplying the mixed numbers 1 1/7 and 1 3/4.
Step 1: Convert Mixed Numbers to Improper Fractions
- 1 1/7: Multiply the whole number (1) by the denominator (7), and add the numerator (1). This gives you 8. Keep the same denominator (7). So, 1 1/7 is equivalent to 8/7.
- 1 3/4: Multiply the whole number (1) by the denominator (4), and add the numerator (3). This gives you 7. Keep the same denominator (4). So, 1 3/4 is equivalent to 7/4.
Step 2: Multiply the Fractions
Now we have 8/7 * 7/4. To multiply fractions, we multiply the numerators and the denominators:
(8 * 7) / (7 * 4) = 56/28
Step 3: Simplify the Result
56/28 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 28:
56/28 = 2/1 = 2