Dividing Fractions: 1 1/3 Divided by 1 3/4
Dividing fractions can seem a bit daunting, but it's actually quite simple. Let's break down how to solve 1 1/3 divided by 1 3/4 as a fraction:
1. Convert Mixed Numbers to Improper Fractions
- 1 1/3: Multiply the whole number (1) by the denominator (3) and add the numerator (1). Keep the same denominator. This gives us (1 * 3 + 1) / 3 = 4/3.
- 1 3/4: 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.
2. Flip the Second Fraction and Multiply
Dividing by a fraction is the same as multiplying by its inverse (reciprocal). To find the inverse, simply flip the numerator and denominator:
- The inverse of 7/4 is 4/7.
Now, our problem becomes: 4/3 * 4/7
3. Multiply the Numerators and Denominators
- (4 * 4) / (3 * 7) = 16/21
Answer
Therefore, 1 1/3 divided by 1 3/4 is equal to 16/21.