Multiply fractions and decimals practice. Multiply, 2/3 x 1 1/4.
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.
To multiply fractions and whole numbers, convert the whole number to a fraction by placing it over 1. Then, multiply the numerators together and the denominators together.
In this case, we have:
2/3 x 1 1/4
Step 1: Convert the whole number to a fraction.
1 1/4 can be written as (4/4 + 1/4) = 5/4.
Step 2: Multiply the numerators together.
2/3 multiplied by 5/4 gives us (2 x 5) = 10.
Step 3: Multiply the denominators together.
The denominators are 3 and 4, so 3 x 4 = 12.
Step 4: Simplify the fraction.
10/12 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 2.
Therefore, 10/12 simplifies to 5/6.
So, 2/3 x 1 1/4 = 5/6.