2/5 x 2/9
To multiply fractions, you need to multiply the numerators together and multiply the denominators together.
So, (2/5) x (2/9) = (2 x 2) / (5 x 9) = 4/45.
simplify 4/45
To simplify a fraction, you need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by that number.
In this case, the GCD of 4 and 45 is 1 because 4 and 45 do not have any common factors other than 1. Therefore, we cannot simplify 4/45 further.
So, 4/45 is already simplified.
2/3 x 1 2/9
To multiply a mixed number and a fraction, you first need to convert the mixed number to an improper fraction.
1 2/9 can be converted to an improper fraction as follows:
1 * 9 = 9
9 + 2 = 11
So, 1 2/9 can be written as 11/9.
Now, you can multiply the fractions:
(2/3) x (11/9)
To multiply fractions, you multiply the numerators together and multiply the denominators together.
2 x 11 = 22
3 x 9 = 27
Therefore, (2/3) x (1 2/9) = 22/27.
22/27 simplified
To simplify a fraction, you need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by that number.
In this case, the GCD of 22 and 27 is 1 because 22 and 27 do not have any common factors other than 1. Therefore, we cannot simplify 22/27 further.
So, 22/27 is already simplified.
7/10 x 1 1/4 in simplest form
To multiply a mixed number and a fraction, you first convert the mixed number to an improper fraction.
1 1/4 can be converted to an improper fraction as follows:
1 * 4 = 4
4 + 1 = 5
So, 1 1/4 can be written as 5/4.
Now, you can multiply the fractions:
(7/10) x (5/4)
To multiply fractions, you multiply the numerators together and multiply the denominators together.
7 x 5 = 35
10 x 4 = 40
Therefore, (7/10) x (1 1/4) = 35/40.
To simplify the fraction, we can find the greatest common divisor (GCD) of 35 and 40, which is 5.
Dividing the numerator and denominator by 5, we get:
35 ÷ 5 / 40 ÷ 5 = 7/8
Therefore, 7/10 x 1 1/4 in simplest form is 7/8.