Multiplying Mixed Numbers: 1 1/7 x 1 3/4
This article will guide you through the process of multiplying the mixed numbers 1 1/7 and 1 3/4 and simplifying the result to its simplest form.
Step 1: Convert Mixed Numbers to Improper Fractions
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1 1/7: To convert this mixed number, multiply the whole number (1) by the denominator (7) and add the numerator (1). Keep the same denominator: (1 * 7 + 1) / 7 = 8/7
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1 3/4: Following the same procedure: (1 * 4 + 3) / 4 = 7/4
Step 2: Multiply the Improper Fractions
Now that we have our improper fractions, we can multiply them:
(8/7) * (7/4) = (8 * 7) / (7 * 4) = 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 = 2/1
Step 4: Convert the Improper Fraction to a Mixed Number (Optional)
Since 2/1 is an improper fraction, we can convert it back to a mixed number:
2/1 = 2
Conclusion
Therefore, the product of 1 1/7 and 1 3/4, simplified to its simplest form, is 2.