Answer:
-1/2
Step-by-step explanation:
[tex]\text{Given expression:}[/tex]
[tex]\bullet \ -1\dfrac{7}{9} \times 2\dfrac{1}{4}[/tex]
[tex]\text{To simplify this expression, we need to convert the fractions to improper }\\\text{fraction. To convert a mixed fraction into improper fraction, multiply the }\\\text{whole number by the denominator. Then, add the numerator to the product. } \\ \text{The result will be the numerator of the improper fraction. The denominator of }\\ \text{the improper fraction will be the same as the denominator of the mixed fraction.}[/tex]
[tex]\bold{\text{}Note:}\text{ If a mixed fraction is negative, you would need to subtract the}}\\ \text{numerator from the product.}}[/tex]
[tex]\bullet \implies \dfrac{(-1 \times 9) - 7}{9} \times \dfrac{(2 \times 4) + 1}{4}[/tex]
[tex]\bullet \implies \dfrac{(-9) - 7}{9} \times \dfrac{(8) + 1}{4}[/tex]
[tex]\bullet \implies \dfrac{-16}{9} \times \dfrac{9}{4}[/tex]
[tex]\text{Finally, multiply both the fractions to obtain the product of the expression.} \\ \text{If possible, simplify the product.}[/tex]
[tex]\bullet \implies \dfrac{-144}{36}[/tex]
[tex]\bullet \implies -4[/tex]
The simplified answer is -4.
