Question

multiply 4/9 by 1 3/4 in simplest form

Answer 1

To multiply 4/9 by 1 3/4, we need to first convert the mixed number 1 3/4 into an improper fraction.

To do this, we multiply the whole number, 1, by the denominator of the fraction, 4, then add the numerator, 3. This gives us 1 * 4 + 3 = 7.

So, 1 3/4 as an improper fraction is 7/4.

Now, we can multiply 4/9 by 7/4.

Multiplying the numerators gives us 4 * 7 = 28, and multiplying the denominators gives us 9 * 4 = 36.

So, the product of 4/9 and 1 3/4 is 28/36.

To simplify this fraction, we find the greatest common divisor (GCD) of the numerator, 28, and the denominator, 36.

The GCD of 28 and 36 is 4.

Dividing both the numerator and denominator by 4 gives us 28/36 ÷ 4/4 = 7/9.

Therefore, the product of 4/9 and 1 3/4, in simplest form, is 7/9.