Dividing Fractions: 1 1/4 Divided by 5/7
Dividing fractions can seem daunting, but it's actually quite simple once you understand the process. Here's how to solve 1 1/4 divided by 5/7:
Step 1: Convert Mixed Number to an Improper Fraction
- 1 1/4 can be converted to an improper fraction by multiplying the whole number (1) by the denominator (4) and adding the numerator (1). This gives us 5. We then place this over the original denominator (4) resulting in 5/4.
Step 2: Invert the Second Fraction and Multiply
- Dividing by a fraction is the same as multiplying by its reciprocal. To find the reciprocal of 5/7, we simply flip it over to get 7/5.
- Now we multiply the two fractions: (5/4) * (7/5).
Step 3: Simplify and Solve
- Multiply the numerators (5 * 7) and the denominators (4 * 5): 35/20.
- Simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 5: 7/4.
Final Answer
Therefore, 1 1/4 divided by 5/7 is equal to 7/4 or 1 3/4.