describe a situation in which you might use each calculation
a)9/8 divided by 2/3
b)1 and 2/3 divided by 2 and 2/3
A)(9/8)/(2/3) can be written as (9/8)*(3/2), by reversing the denominator you can multiply instead of dividing, much easier.
so(9*3)/(8*2)=27/16
B)take 1 and 2/3 and make it into a whole fraction. so 3/3+2/3=5/3
Do the same for 2 and 2/3 = 6/3+2/3=8/3
Then (27/16)/(8/3)=(27/16)*(3/8)=81/128
a) To solve the division problem 9/8 divided by 2/3, you can use the following steps:
1. Convert the division problem into a multiplication problem by taking the reciprocal of the divisor. The reciprocal of 2/3 is 3/2.
2. Multiply the dividend (9/8) by the reciprocal of the divisor (3/2). So the calculation now becomes (9/8) * (3/2).
3. Multiply the numerators (9 * 3) to get the numerator of the result.
4. Multiply the denominators (8 * 2) to get the denominator of the result.
5. Simplify the fraction if possible.
b) To solve the division problem 1 and 2/3 divided by 2 and 2/3, you can use the following steps:
1. Convert the mixed numbers into improper fractions. 1 and 2/3 can be written as (5/3), and 2 and 2/3 can be written as (8/3).
2. Invert the divisor fraction. The reciprocal of 8/3 is 3/8.
3. Multiply the dividend (5/3) by the reciprocal of the divisor (3/8). So the calculation now becomes (5/3) * (3/8).
4. Multiply the numerators (5 * 3) to get the numerator of the result.
5. Multiply the denominators (3 * 8) to get the denominator of the result.
6. Simplify the fraction if possible.