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Answer:
[tex]\frac{4}{5}[/tex] or 0.8
Step-by-step explanation:
The question is asking what number multiplied by [tex]\frac{5}{6}[/tex] equals [tex]\frac{2}{3}[/tex]. In equation form, this would be x ·
To find x, you would do [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{5}{6}[/tex]. When dividing fractions, you would use the keep-change-flip method. The first fraction stays the same, the sign flips from division to multiplication, and the numerator and denominator switch in the second fraction. Finally, multiply the fractions to find the answer.
Below is the explanation in step form.
1. [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{5}{6}[/tex]
2. [tex]\frac{2}{3}[/tex] · [tex]\frac{6}{5}[/tex]
3. [tex]\frac{2}{1}[/tex] · [tex]\frac{2}{5}[/tex] (You can cancel out the 3 and the 6.)
3. [tex]\frac{12}{15}[/tex] (You can also multiply and simplify.)
4. Answer = [tex]\frac{4}{5}[/tex]