Answer:
Step-by-step explanation:
17. A board 8 1/4 wanting to be cut out of the board are a number of pieces each piece 1 3/4 long
Convert both 8 1/4 and 1 3/4
8 1/4 = Multiply the denominator(4) by the whole number(8) to get 32 then add it to the numerator(1) to get 33, then put it over the original denominator to get 33/4. Do the same for the rest of the questions.
1 3/4 = 7/4
Divide 33/4 by 7/4 since we want to see how many times we can get 7/4 out of 33/4
33/4 ÷ 7/4
33/4 * 4/7, Changing the division sign to multiplication changes the fraction or number after it to the inverse of itself 7/4 = 4/7
132/28 - simplify by dividing the numerator and denominator by 4
33/7 - She will be able to cut 33/7 boards
Converting back to mixed fraction, divide the numerator by the denominator to give 4, write it as the whole number then write the remainder, 5, as the numerator and use the original denominator 7
= 4 5/7 boards
18. Total = 50
One serving = 1 1/3 = 4/3
50 ÷ 4/3
50 * 3/4
150/4 - simplify
75/2
= 37 1/2 servings
19. Saturday = 1 1/3 = 4/3
Sunday = 2 3/4 = 11/4
In a week, she watches 4/3 + 11/4 = 49/12 hrs
In 3 weeks, she watches 49/12 * 3 = 147/12- simplify = 49/4 hrs
= 12 1/4 hrs
20. Total = 10
Sister = 3 1/2 = 7/2
Brother 4 1/5 = 21/5
Total given out = 7/2 + 21/5 = 77/10
What's left = 10 - 77/10 = 7/3
= 2 1/3 lbs
21. One day = 4 1/4 = 17/4
One week = 7 days
17/4 * 7 = 119/4
= 29 3/4 houses
