Question

multiply.
$1\frac{1}{4} \times 1\frac{7}{9}$
answer as a mixed number in simplest form. enter the whole number first.

Explanation:

Step1: Convert mixed numbers to improper fractions

To multiply mixed numbers, first convert them to improper fractions. For \(1\frac{1}{4}\), multiply the whole number \(1\) by the denominator \(4\) and add the numerator \(1\): \(1\times4 + 1 = 5\), so \(1\frac{1}{4}=\frac{5}{4}\). For \(1\frac{7}{9}\), multiply the whole number \(1\) by the denominator \(9\) and add the numerator \(7\): \(1\times9 + 7 = 16\), so \(1\frac{7}{9}=\frac{16}{9}\).

Step2: Multiply the improper fractions

Now multiply the two improper fractions: \(\frac{5}{4} \times \frac{16}{9}\). Multiply the numerators: \(5\times16 = 80\), and multiply the denominators: \(4\times9 = 36\). So we have \(\frac{80}{36}\).

Step3: Simplify the fraction and convert back to a mixed number

Simplify \(\frac{80}{36}\) by dividing both the numerator and denominator by their greatest common divisor, which is \(4\). \(\frac{80\div4}{36\div4}=\frac{20}{9}\). Now convert \(\frac{20}{9}\) back to a mixed number. Divide \(20\) by \(9\): \(9\times2 = 18\), with a remainder of \(2\). So \(\frac{20}{9}=2\frac{2}{9}\).

Answer:

\(2\frac{2}{9}\)