Factors & Multiples
Find the LCM of 14 and 21 using prime factorization
7
Travis drove 129 miles in 3 hours. He drove at a constant speed. How Manu miles did he drive in 1 hour?
43 miles per hour
Write 50% as a fraction in simplest form.
1/2
3/4 x 5/6
5/8
l5l + l-6l =
11
Find the GCF of 24 and 60
12
Determine if the pair of ratios or rates is equivalent. Explain your reasoning.
3 free throws made out of 7 attempts;
9 free throws made out of 14 attempts
Since the fractions are not equivalent, the ratios are not equivalent.
Write the fraction 6/8 as a percent.
75%
4/9 x 18
8/1 or 8
Find 5 and 1/2 divided by 2 and 1/2
2 and 1/5 or 11/5
Find the GCF of 9,12,15
3
Determine if each pair of rates is equivlalent. Explain your reasoning.
3 shirts for $21; 5 shirts for $35
Since the rates have the same unit rate, they are equivalent.
During his workout, Elan spent 28% of the time on the treadmill. What fraction of his workout was on the treadmill? (simplest form)
7/25
Frank had 1/2 of the lawn left to mow. On Saturday, he mowed 2/3 of what was left. What fraction of the entire lawn did Frank mow on Saturday?
Frank mowed 1/3 of the lawn on Saturday.
1/2 x 2/3 = 1/3
Divide 7.7 by 14
0.55
A gardener has 27 pansies and 36 daisies. He plants an equal number of each type of flower in each row. What is the greatest possible number of pansies in each row?
9
On her vacation, Leya exchanged $50 American and received $60 Canadian. Use a ratio table to find how many Canadian dollars she would receive for $20 American.
Canadian dollars]60]6]24]
American dollars]50]5]20
Divide each quantity by a common factor, 10.
Then, since 5x4=20, multiply each quantity by 4.
Write <,>,= to make the statement true.
5/8 O 7/12
15/24>14/24
Find 1 and 7/8 x 3 and 1/3. Write in simplest form.
6 and 1/4
40 feet
25+ l-15l = 40
Ernesto has painting class every 2 weeks. Kamala has a pottery class every 5 weeks. Ernesto and Kamala met at the art building for class this week. How many weeks will it be until they see each other again?
10 weeks (LCM)
An adult's heart beats about 2,100 times every 30 minutes. A baby's heart beats about 2,600 times every 20 minutes. How many more beats does a baby's heart beat in 60 minutes than an adult's heart?
A baby's heart beats 3,600 more times in 60 minutes than an adult's heart.
Step 1: Find the unit rates
Adult : 2,100beats/30minutes= 70 beats/1minute
Baby: 2,600beats/20minutes= 130beats/1minute
Step 2: Determine beats in 60 minutes
Adult: 70x60=4,200 beats
Baby: 130x60=7,800 beats
Step 3: Find the difference
7,800-4,200= 3,600
In a recent state Special Olympics meet, Franklin County sent a team of 70 players. Twenty percent of the team competed in soccer. How many athletes competed soccer?
14 team members
20%= 0.20
20% of 70 = 0.2x70 = 14
Find 5/7 divided by 10. Write in simplest form.
1/14
Justin has a score of -4 on the Trueville Trivia game. Desiree's score is -5. Write an inequality to compare the scores. Explain the meaning of an inequality.
-4 > -5
Justin has a higher score than Desiree.