To solve the expression [tex] \frac{4}{9} *\frac{7}{4} [/tex], we need to multiply the terms [tex] \frac{7}{4} [/tex] and [tex] \frac{4}{9} [/tex]. To multiply them, we can first simplify both of the terms by using cross multiplication. Since we see 4 in the denominator of one fraction, and 4 in the numerator of another, we can cancel it out. That means that our terms that we have to multiply become:
[tex] \frac{7}{1} [/tex] and [tex] \frac{1}{9} [/tex]
Now, we can easily multiply and deduct that our answer is [tex] \frac{7}{9} [/tex]
