Multiply 2/3 by 1 1/4. Write the answer in simplest form.
To multiply the fractions 2/3 and 1 1/4, we need to first convert the mixed number 1 1/4 into an improper fraction.
To do this, we multiply the whole number (1) by the denominator of the fraction (4), and then add the numerator (1). This gives us 4 + 1 = 5.
Next, we keep the same denominator (4) and use the sum (5) as the new numerator. So, the mixed number 1 1/4 is equivalent to the improper fraction 5/4.
Now, we can multiply 2/3 by 5/4:
(2/3) * (5/4) = (2 * 5) / (3 * 4) = 10/12.
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2.
10/12 ÷ 2/2 = 5/6.
Therefore, the product of 2/3 and 1 1/4, written in simplest form, is 5/6.
To multiply 2/3 by 1 1/4, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
1 1/4 = (4 * 1 + 1) / 4 = 5/4
Step 2: Multiply the numerators and denominators.
(2/3) * (5/4) = (2 * 5) / (3 * 4) = 10/12
Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF).
The GCF of 10 and 12 is 2.
10/12 ÷ 2/2 = (10 ÷ 2) / (12 ÷ 2) = 5/6
Therefore, 2/3 multiplied by 1 1/4 equals 5/6 in simplest form.