9/10/ 2/3

To perform the arithmetic operation, you need to convert the fractions into a common denominator.

Let's find the least common multiple (LCM) of 10 and 3, which is 30.

Now, multiply the numerator and denominator of the first fraction (9/10) by 3 to get an equivalent fraction with 30 as the denominator. This results in (27/30).

Next, multiply the numerator and denominator of the second fraction (2/3) by 10 to get an equivalent fraction with 30 as the denominator. This results in (20/30).

Now, you can add the two equivalent fractions together:

(27/30) + (20/30) = (47/30)

Therefore, the sum of 9/10 and 2/3 is 47/30.

To evaluate the expression 9/10 ÷ 2/3:

1. Flip the second fraction, changing the division operation to multiplication: 9/10 x 3/2.
2. Multiply the numerators and denominators: (9 x 3)/(10 x 2).
3. Simplify: 27/20.

Therefore, 9/10 ÷ 2/3 equals 27/20.

To calculate the result of the expression 9/10 ÷ 2/3, you will need to follow these steps:

Step 1: Convert the division operation into multiplication. To do this, you need to find the reciprocal of the second fraction. The reciprocal of a fraction is obtained by flipping the numerator and denominator. So, the reciprocal of 2/3 becomes 3/2.

Step 2: Rewrite the division as a multiplication. Now, the expression becomes 9/10 × 3/2.

Step 3: Multiply the numerators and denominators. Multiply the numerators (9 × 3) and multiply the denominators (10 × 2). The result is (27/20).

So, the simplified answer to 9/10 ÷ 2/3 is 27/20.