Multiply fractions and decimals practice. Multiply, 2/3 x 1 1/4.

Answer 1

To multiply a fraction by a whole number, we convert the whole number into a fraction by writing it over 1.

So, 1 can be written as 1/1.

Now, we have:
2/3 x 1 1/4 = 2/3 x (1 + 1/4)

To multiply fractions, we multiply the numerators together and the denominators together:

= (2 * (1 + 1/4)) / (3 * 1)

= (2 * 5/4) / 3

= 10/4 / 3

When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction.

So, we rewrite 10/4 as 10/4 * 1/3:

= (10 * 1) / (4 * 3)

= 10/12

Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2, we get:

= 5/6

Therefore, 2/3 x 1 1/4 = 5/6.