Simplify (-4/3 + 5/7) x 7/9
Share
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
(-28 + 15/21) × 7/9
-13/21 × 7/9
= -91/189 is the correct answer
Question :
Simplify [tex] \tt \: \large \: ( \frac{ - 4}{3} + \frac{5}{7} ) \times \frac{7}{9} [/tex]
So how will we solve it Simply we will first reduce the friction which is between the small brackets and after that will multiply the resultant with [tex] \tt \: \large \frac{7}{9} [/tex]
Hope you understand now let's jump directly on the Question.
Solution :
[tex] \tt \: \large \: ( \frac{ - 4}{3} + \frac{5}{7} ) \times \frac{7}{9} [/tex]
[tex] \tt \: \large \:⇒ ( \frac{ - 4 \times 7 + 5 \times 3}{21} ) \times \frac{7}{9} [/tex]
Proceeding with simple calculation
[tex] \tt \: \large \:⇒ ( \frac{ - 28 + 15}{21}) \times \frac{7}{9} [/tex]
[tex] \tt \: \large \:⇒ ( \frac{ - 13}{21}) \times \frac{7}{9}[/tex]
Now, we can remove the brackets
[tex] \tt \: \large \: ⇒ \frac{ - 13}{21} \times \frac{7}{9}[/tex]
Reducing the friction
[tex] \tt \: \large \: ⇒ \frac{ - 13}{3 \times 9}[/tex]
[tex] \tt \: \large \: ⇒\frac{ - 13}{27}[/tex]
We can't reduce it any more
Henceforth,
The Answer is [tex] \tt \color{#c92786} \large \: \frac{ - 13}{27}[/tex]
━━━━━━━━━━━━†
[tex]\:\:\:\:\:\:\:\:\:\:[/tex][tex]\tt\color{aqua}{●\mid} \underbrace{\color{teal}{Thank\:Ü}}\color{aqua}{\mid●}\\[/tex]