Equations
3/2n = 3
n = 2
2/3 + 8/9
14/9
Frank has 3 bags of birdseed. He wants to put the birdseed into 4 bird feeders equally. How many bags will go into each feeder?
3/4 bags of birdseed in each bird feeder
What operation is occurring in a fraction?
Division
5 = m/6 - 2
m = 42
2 - 5/8
11/8
Mary needs to order pizza for 18 students. Each student should get 1/4 of a pizza. How many pizzas should Mary order? How much pizza would be left over?
Mary should order 5 pizzas. 1/2 of a pizza will be left over.
What is the reciprocal of 4/5?
5/4
1/2x + 2 = 3/2x - 4
x = 6
Multiply.
7/4 x 9/2
63/8
Avis says the two equations 1/2x = 3 and x/2 = 3 are equivalent equations that are solved int he same way. Do you agree with them? Show or explain your reasoning.
Yes, Avis is correct. They have recognized that 1/2x=x/2 and multiplying by 1/2 is the same as dividing by 2.
Turn the improper fraction into a mixed number.
47/9
5 2/9
(five and two-nineths)
2t - 5 = 25/2
t = 35/4 = 8.75
5/3 divided by 3/4
20/9 = 2 2/9
(two and two-ninths)
Antonio, Burt, and Claire each collect
watches. Antonio has half as many as Claire.
Burt has three fewer than Claire. Claire has
four more than Antonio. How many watches
does each person have?
Antonio has 4, Burt has 5 and Claire has 8.
8-4
________
2+7-1*3
2
_
3
3/5 + 1/2 = 5/x
x = 50/11 = 4.54
6 divided by 1 7/8
(one and seven-eighths)
3
A tomato plant is 4 inches tall when it is planted, and it grows another 6/4 inches per week. The tomato plant stops growing after 10 weeks. How tall is the fully grown tomato plant?
23 inches
Are the fractions 5/6 and 9/12 equivalent? Show or explain your reasoning.
No. When we find equivalent fractions with common denominators, the fractions have different numerators.