Simplifying Fractions: 14/15 x 3/2
In this article, we will simplify the fraction 14/15 x 3/2.
The Given Fraction
The given fraction is:
$\frac{14}{15} \times \frac{3}{2}$
Multiplying Fractions
To multiply fractions, we need to multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom), like this:
$\frac{14}{15} \times \frac{3}{2} = \frac{14 \times 3}{15 \times 2}$
Calculating the Product
Now, let's calculate the product:
$\frac{14 \times 3}{15 \times 2} = \frac{42}{30}$
Simplifying the Fraction
The fraction 42/30 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 42 and 30 is 6. Therefore, we can divide both numbers by 6:
$\frac{42 \div 6}{30 \div 6} = \frac{7}{5}$
The Simplest Form
The simplest form of the fraction 14/15 x 3/2 is:
$\frac{7}{5}$
Therefore, the simplified fraction is 7/5.
