Calculating 1 1/4 times 1 3/4
This article will guide you through calculating 1 1/4 times 1 3/4. We'll break down the process into manageable steps to make it easy to follow.
Step 1: Convert Mixed Numbers to Fractions
First, we need to convert the mixed numbers into fractions.
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1 1/4: Multiply the whole number (1) by the denominator (4) and add the numerator (1). Keep the same denominator. This gives us (1*4 + 1)/4 = 5/4.
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1 3/4: Similarly, multiply the whole number (1) by the denominator (4) and add the numerator (3). Keep the same denominator. This gives us (1*4 + 3)/4 = 7/4.
Step 2: Multiply the Fractions
Now that we have both numbers as fractions, we can multiply them.
- (5/4) * (7/4) = (5 * 7) / (4 * 4)
Step 3: Simplify the Result
Multiply the numerators and the denominators. This gives us 35/16.
Step 4: Convert back to a Mixed Number (Optional)
Since the result is an improper fraction, we can optionally convert it back to a mixed number.
- Divide the numerator (35) by the denominator (16). 35 divided by 16 is 2 with a remainder of 3.
- This means the mixed number is 2 3/16.
Conclusion
Therefore, 1 1/4 times 1 3/4 is equal to 35/16 or 2 3/16.