Simplify the expression:

\[ \frac{9}{10} \div \left(\frac{1}{10} + \frac{2}{5}\right) \]

( 10 1 ​ + 5 2 ​ ) 10 9 ​ ​ = 2 1 ​ 10 9 ​ ​ = 10 9 ​ . 1 2 ​ = 1 0 ÷ 2 1 8 ÷ 2 ​ → 5 9 ​ ​ ​

Answered by 452 | 2024-06-10

1.8 is the answer
1/10+2/5 is equal to 0.5
That divided by 9/10 is 1.8 or 1 8/10

Answered by Anonymous | 2024-06-10

To simplify 10 9 ​ ÷ ( 10 1 ​ + 5 2 ​ ) , we first simplify the denominator to 2 1 ​ . Then, rewriting the division as multiplication by the reciprocal leads to 10 9 ​ × 2 = 10 18 ​ , which simplifies to 5 9 ​ .
;

Answered by 452 | 2024-12-23