Multiplying Mixed Numbers: 1 1/7 x 1 3/4
This article will guide you through the steps of multiplying the mixed numbers 1 1/7 and 1 3/4.
Step 1: Convert Mixed Numbers to Fractions
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1 1/7 can be converted to an improper fraction by multiplying the whole number (1) by the denominator (7) and adding the numerator (1). The result is then placed over the original denominator: (1 * 7) + 1 = 8, so 1 1/7 becomes 8/7.
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1 3/4 is converted in the same way: (1 * 4) + 3 = 7. Therefore, 1 3/4 becomes 7/4.
Step 2: Multiply the Fractions
Now we have the multiplication problem: 8/7 x 7/4
To multiply fractions, simply multiply the numerators and the denominators:
- (8 * 7) = 56
- (7 * 4) = 28
This gives us 56/28.
Step 3: Simplify the Result
The fraction 56/28 can be simplified. Both the numerator and denominator are divisible by 28:
- 56 / 28 = 2
- 28 / 28 = 1
This leaves us with the final answer: 2/1 or simply 2.
Conclusion
Therefore, the product of 1 1/7 and 1 3/4 is 2.