Respuesta :
Answer:
[tex]\frac{5}{3}[/tex]
Step-by-step explanation:
We have two fractions being multiplied.
[tex]\frac{3}{4} * 2\frac{2}{9}[/tex]
Convert 2 2/9 into an improper fraction by multiplying the whole number by the denominator and add the numerator :
2 * 9
18 + 2
20
[tex]\frac{3}{4} * \frac{20}{9}[/tex]
Remember that when multiplying fractions you have to multiply across :
[tex]\frac{3*20}{4*9}[/tex]
[tex]\frac{60}{36}[/tex]
Divide both sides by 6.
[tex]\frac{5}{3}[/tex]
Fractions are integers or numbers that have a numerator and a denominator. The numerator is the number at the top and the denominator is the number at the bottom. They can be represented mathematically as:
[tex]\frac{x}{y}[/tex] , where x = numerator and y = denominator
[tex]\frac{3}{4}[/tex] × [tex]2\frac{2}{9}[/tex] in fraction form is [tex]1\frac{2}{3}[/tex]
From the question, we have a mixed fraction [tex]2\frac{2}{9}[/tex] .
- Step 1: We have to convert this to an improper fraction.
[tex]2\frac{2}{9}[/tex] = [tex]\frac{20}{9}[/tex]
- Step 2: We carry out the multiplication operation
[tex]\frac{3}{4}[/tex] × [tex]\frac{20}{9}[/tex]
= [tex]\frac{5}{3}[/tex]
We can convert the improper fraction above to a mixed fraction
= [tex]1\frac{2}{3}[/tex]
To learn more, visit the link below:
https://brainly.com/question/2146332
