multiply 2/3 by 1 1/4. write the answer in simplest form. questions.llc
To multiply 2/3 by 1 1/4, we first need to convert 1 1/4 to an improper fraction.
To do so, we multiply the whole number, which is 1, by the denominator, which is 4. Then we add the numerator, which is 1, to the result.
1 * 4 + 1 = 4 + 1 = 5
Therefore, 1 1/4 is equivalent to 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 the numerator and denominator by their greatest common divisor, which is 2.
(10/12) ÷ 2/2 = 5/6.
The simplified form of 2/3 multiplied by 1 1/4 is 5/6.
To multiply 2/3 by 1 1/4, follow these steps:
Step 1: Convert the mixed number 1 1/4 to an improper fraction.
1 1/4 = (4 * 1 + 1) / 4 = 5/4
Step 2: Multiply the fractions.
2/3 * 5/4 = (2 * 5) / (3 * 4) = 10/12
Step 3: Simplify the fraction.
To find the simplest form, we can simplify the fraction by dividing both the numerator and denominator by their greatest common factor. In this case, the GCF of 10 and 12 is 2.
10/12 = (10 ÷ 2) / (12 ÷ 2) = 5/6
Therefore, multiplying 2/3 by 1 1/4 (or 5/4) gives the simplest form of the answer as 5/6.