Dividing Fractions: 1 1/3 ÷ 1 3/4
This article will guide you through the process of dividing mixed numbers in fraction form. We will focus on the example of 1 1/3 ÷ 1 3/4.
Step 1: Convert Mixed Numbers to Improper Fractions
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1 1/3: Multiply the whole number (1) by the denominator (3) and add the numerator (1). This gives you 4. Keep the same denominator (3). So, 1 1/3 becomes 4/3.
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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 becomes 7/4.
Step 2: Invert the Divisor (Second Fraction) and Multiply
- Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 7/4 is 4/7.
Step 3: Multiply the Fractions
- (4/3) * (4/7) = 16/21
Final Answer
Therefore, 1 1/3 divided by 1 3/4 is equal to 16/21.