Multiply 2/3 by 1 1/4 in simplest form
To multiply 2/3 by 1 1/4, we first need to convert the mixed number 1 1/4 into an improper fraction. To do this, we multiply the whole number (1) by the denominator (4), then add the numerator (1) to get 5. Therefore, 1 1/4 is equivalent to the improper fraction 5/4.
So, we have:
2/3 × 5/4
Now, we can multiply the numerators and the denominators together:
(2 × 5) / (3 × 4) = 10/12
Finally, we can simplify this fraction by finding the greatest common divisor (GCD) of both the numerator and the denominator, which is 2. By dividing both the numerator and the denominator by 2, we get:
10 ÷ 2 / 12 ÷ 2 = 5/6
Therefore, the multiplication of 2/3 by 1 1/4 in simplest form is 5/6.
To multiply fractions, follow these steps:
Step 1: Convert the mixed number to an improper fraction.
1 1/4 = (4 * 1) + 1 = 5/4
Step 2: Multiply the numerators (top numbers) together.
2/3 * 5/4 = (2 * 5)/(3 * 4) = 10/12
Step 3: Simplify the fraction.
To simplify, find the greatest common divisor (GCD) of the numerator and denominator, which is 2 in this case.
10/12 = (10 ÷ 2) / (12 ÷ 2) = 5/6
So, 2/3 multiplied by 1 1/4 in simplest form is 5/6.