Simplifying Fractions: 10/11 x 7/9 x 1/2
In this article, we will explore how to simplify the fraction 10/11 x 7/9 x 1/2.
Multiply the Fractions
To simplify the fraction, we need to multiply the numerators (the numbers on top) and the denominators (the numbers on the bottom) separately.
** Numerators: **
- 10 x 7 x 1 = 70
** Denominators: **
- 11 x 9 x 2 = 198
Simplify the Fraction
Now, we can write the fraction as:
70/198
To simplify the fraction further, we need to find the greatest common divisor (GCD) of 70 and 198.
Find the Greatest Common Divisor (GCD)
The GCD of 70 and 198 is 2.
Simplify the Fraction Further
Now, we can divide both the numerator and the denominator by the GCD:
35/99
Final Answer
The final simplified fraction is:
35/99
In conclusion, the simplified fraction of 10/11 x 7/9 x 1/2 is 35/99.