13. 3/4 divided by 7/12= 1 2/7
14. 9/10 divided by 9=1/10
15. 2/3 divided by 5/8=1 1/15
16. 4 divided by 7/9= 5 1/7
All are correct.
14 9/10 divided by 2
To solve these division problems involving fractions, you can follow these steps:
Step 1: Convert mixed numbers (if any) into improper fractions.
If there are any mixed numbers, convert them into improper fractions. To do this, multiply the whole number by the denominator of the fraction part, then add the numerator. Place the resulting sum over the denominator.
Step 2: Flip the second fraction and change the division operation to multiplication.
To divide fractions, flip the second fraction (the denominator becomes the numerator, and the numerator becomes the denominator) and change the operation from division to multiplication.
Step 3: Multiply the numerators and denominators.
Multiply the numerators (top numbers) together, and multiply the denominators (bottom numbers) together.
Step 4: Simplify the resulting fraction, if necessary.
If possible, simplify the resulting fraction by dividing both the numerator and denominator by their greatest common divisor.
Let's apply these steps to the given examples:
13. 3/4 divided by 7/12:
Step 1: Convert the mixed numbers, if any. In this case, there are no mixed numbers.
Step 2: Flip the second fraction and change division to multiplication: (3/4) * (12/7).
Step 3: Multiply the numerators and denominators: (3*12) / (4*7) = 36 / 28.
Step 4: Simplify the resulting fraction: 36 and 28 both divide evenly by 4, so dividing them by 4 gives us (9/7).
Therefore, 3/4 divided by 7/12 equals 9/7, which is 1 and 2/7.
14. 9/10 divided by 9:
Step 1: Convert the mixed numbers, if any. In this case, there are no mixed numbers.
Step 2: Flip the second fraction and change division to multiplication: (9/10) * (1/9).
Step 3: Multiply the numerators and denominators: (9*1) / (10*9) = 9 / 90.
Step 4: Simplify the resulting fraction: Both 9 and 90 divide evenly by 9, so dividing them by 9 gives us (1/10).
Therefore, 9/10 divided by 9 equals 1/10.
15. 2/3 divided by 5/8:
Step 1: Convert the mixed numbers, if any. In this case, there are no mixed numbers.
Step 2: Flip the second fraction and change division to multiplication: (2/3) * (8/5).
Step 3: Multiply the numerators and denominators: (2*8) / (3*5) = 16 / 15.
Step 4: Simplify the resulting fraction: There are no common factors for 16 and 15, so the fraction cannot be simplified further.
Therefore, 2/3 divided by 5/8 equals 16/15, which is 1 and 1/15.
16. 4 divided by 7/9:
Step 1: Convert the mixed numbers, if any. In this case, there are no mixed numbers.
Step 2: Flip the second fraction and change division to multiplication: (4/1) * (9/7).
Step 3: Multiply the numerators and denominators: (4*9) / (1*7) = 36 / 7.
Step 4: Simplify the resulting fraction: There are no common factors for 36 and 7, so the fraction cannot be simplified further.
Therefore, 4 divided by 7/9 equals 36/7, which is 5 and 1/7.