14. 10 5/18 – 8 5/6 =

please help me

For the first two, find the least common denominator of these fractions.

16. Invert the second fraction and multiply.

17. 13/4 = 3.25

To solve these problems, we'll break it down step by step.

14. To subtract mixed fractions, you need to make sure the denominators are the same.

10 5/18 - 8 5/6 = (Multiply the whole number by the denominator and add the numerator)

= (10 * 18 + 5)/18 - (8 * 6 + 5)/6

= (180 + 5)/18 - (48 + 5)/6

= 185/18 - 53/6

Now, we need to find a common denominator for 18 and 6. In this case, the least common multiple of 18 and 6 is 18.

= (185 - 159)/18

= 26/18

We can simplify the fraction by finding the greatest common divisor of 26 and 18, which is 2.

= (13/9)

15. To multiply a whole number by a mixed fraction, you can first convert the whole number to a fraction with the same denominator as the mixed fraction.

1/2 * -1 1/3 = (1/2) * (-4/3)

Now, simply multiply the numerators together and the denominators together.

= (-1 * 4) / (2 * 3)

= -4/6

We can simplify this fraction by dividing the numerator and denominator by their greatest common divisor, which is 2.

= (-2/3)

16. To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.

5/8 ÷ 15/16 = 5/8 * 16/15

= (5 * 16) / (8 * 15)

= 80/120

Again, we can simplify this fraction by dividing both numerator and denominator by their greatest common divisor, which is 40.

= 2/3

17. To convert a fraction to a decimal, divide the numerator by the denominator.

13/4 = 13 ÷ 4

= 3.25 (rounded to three decimal places)

I hope this helps! Let me know if you have any other questions.