14. 10 5/18 – 8 5/6 =
15. 1/2 • –1 1/3 =
16. 5/8 ÷ 15/16 =
17. Write 13/4 as a decimal. Round to three decimal places
12 years ago
12 years ago
For the first two, find the least common denominator of these fractions.
16. Invert the second fraction and multiply.
17. 13/4 = 3.25
11 months ago
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.