Simplifying the Fraction: 5/7 x 11/15
When we multiply two fractions together, we need to follow the rule of multiplying the numerators (the numbers on top) and multiplying the denominators (the numbers on the bottom) separately. In this case, we have:
The Given Fractions
- 5/7
- 11/15
Multiplying the Fractions
To multiply these fractions, we will multiply the numerators and denominators separately:
- Numerators: 5 x 11 = 55
- Denominators: 7 x 15 = 105
So, the result of multiplying the two fractions is:
55/105
Simplifying the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator. In this case, the GCD of 55 and 105 is 5.
Dividing both the numerator and the denominator by 5, we get:
11/21
Therefore, the simplified fraction is 11/21.
Conclusion
In conclusion, the result of multiplying 5/7 and 11/15 is 55/105, which simplifies to 11/21.
