Dividing Fractions: 1 1/4 ÷ 4 7/8
Dividing fractions can seem tricky, but with the right steps, it's manageable. Here's how to solve 1 1/4 ÷ 4 7/8 in fraction form:
1. Convert Mixed Numbers to Improper Fractions
- 1 1/4: Multiply the whole number (1) by the denominator (4) and add the numerator (1). Keep the same denominator (4). This gives us 5/4.
- 4 7/8: Multiply the whole number (4) by the denominator (8) and add the numerator (7). Keep the same denominator (8). This gives us 39/8.
2. Invert the Second Fraction (Divisor) and Multiply
When dividing fractions, we invert the second fraction (the divisor) and multiply. This means we flip 39/8 to 8/39.
Now our problem looks like this: 5/4 x 8/39
3. Multiply the Numerators and Denominators
- 5 x 8 = 40
- 4 x 39 = 156
This gives us the fraction 40/156.
4. Simplify the Fraction (Optional)
Both 40 and 156 are divisible by 4. Simplifying the fraction, we get 10/39.
Conclusion
Therefore, 1 1/4 ÷ 4 7/8 is equal to 10/39 in fraction form.