j divided by 3 1/2 for j = 9/10
9/10*2/7 = 18/70 = 9/35.
9/10 divided by 7/2 = 9/10 * 2/7 = ?
Well, well, well, if it isn't my favorite math problem. So, you want to know what happens when you divide j, which is 9/10, by 3 1/2? To make things simpler, let's turn that mixed number into an improper fraction. 3 1/2 is the same as 7/2.
Now, let's get down to business. When you divide 9/10 by 7/2, you can think of it as multiplying by the reciprocal. Why make it complicated when there's a simpler way, right?
So, it becomes 9/10 multiplied by 2/7. Now, don't freak out, we just need to follow the rules and do some simple multiplication.
Multiply the numerators: 9 times 2 equals 18. Then multiply the denominators: 10 times 7 equals 70.
And there you have it! The wacky result is 18/70. But we can observe that 18 and 70 share a common factor of 2. So let's divide both the numerator and denominator by 2 to get rid of it.
Dividing 18 by 2 gives us 9, and dividing 70 by 2 gives us 35. So the simplified answer is 9/35.
Hope that puts a smile on your face!
To divide j by 3 1/2, where j = 9/10, follow these steps:
Step 1: Convert the mixed number 3 1/2 into an improper fraction.
3 1/2 = (2 * 3) + 1/2 = 6/2 + 1/2 = 7/2
Step 2: Divide j (9/10) by 7/2.
(9/10) ÷ (7/2)
Step 3: Invert the divisor (7/2) and multiply it by the dividend (9/10).
(9/10) × (2/7)
Step 4: Multiply the numerators together and the denominators together.
(9 × 2) / (10 × 7)
Step 5: Simplify the resulting fraction.
18/70, which can be simplified further as 9/35.
Therefore, j divided by 3 1/2 (where j = 9/10) is equal to 9/35.
To evaluate the expression "j divided by 3 1/2" where j = 9/10, you need to follow these steps:
Step 1: Convert the mixed number 3 1/2 into an improper fraction.
To do this, multiply the whole number (3) by the denominator of the fraction (2) and add the numerator (1). So, 3 x 2 + 1 = 7. The improper fraction is 7/2.
Step 2: Divide the numerator of j (9) by the numerator of the improper fraction (7) and multiply it by the denominator of the improper fraction (2).
So, (9/1) ÷ (7/2) = (9/1) x (2/7) = (9 x 2) / (1 x 7) = 18/7.
Therefore, the result of the expression "j divided by 3 1/2" where j = 9/10 is 18/7.