Comparing fractions
To compare fractions, use common denominators or compare to a benchmark like 1/2. For 2/3 and 3/5: 10/15 and 9/15, so 2/3 is greater.
Try it: Which is greater, 3/4 or 5/8?
Show answer
3/4, because 6/8 is greater than 5/8.
Lessons by subject. Read the lesson, try the question, then check your answer.
Topics follow the Georgia Standards of Excellence, the state's current standards (they replaced the older Common Core Georgia Performance Standards). This is an unofficial study aid, not a Coffee County Schools resource. Your teacher's pacing guide and textbook come first. Official standards: georgiastandards.org.
To compare fractions, use common denominators or compare to a benchmark like 1/2. For 2/3 and 3/5: 10/15 and 9/15, so 2/3 is greater.
Try it: Which is greater, 3/4 or 5/8?
3/4, because 6/8 is greater than 5/8.
Keep the denominator and add or subtract the numerators. 3/8 + 2/8 = 5/8.
Try it: What is 7/10 − 3/10?
4/10, which simplifies to 2/5.
Break the number apart. 23 × 4 = (20 × 4) + (3 × 4) = 80 + 12 = 92.
Try it: What is 31 × 5?
155, because (30 × 5) + (1 × 5) = 150 + 5.
Factors multiply to make a number. The factors of 12 are 1, 2, 3, 4, 6, and 12. Multiples are what you get when you count by a number.
Try it: List the first three multiples of 7.
7, 14, 21.
The Appalachian Mountains are in the east and the Rocky Mountains are in the west. Between them lie large plains.
Try it: Which mountains are in the eastern United States?
The Appalachian Mountains.
The Mississippi River flows south to the Gulf of Mexico. The five Great Lakes are Superior, Michigan, Huron, Erie, and Ontario.
Try it: Name one of the Great Lakes.
Any of Superior, Michigan, Huron, Erie, or Ontario.
People often settle near water, fertile soil, and transportation routes. Rivers helped with travel, drinking water, and farming.
Try it: Why might people settle near a river?
For water, farming, and travel.
Push factors make people leave a place, such as a lack of jobs. Pull factors draw them to another place, such as good schools.
Try it: Is a job opening in a new city a push or a pull factor?
A pull factor.
The main idea is what the text is mostly about. A summary uses your own words to give the main idea and the most important details.
Try it: What should a summary include?
The main idea and key details, in your own words.
A firsthand account is written by someone who was there. A secondhand account is told by someone who learned about it from others.
Try it: Is a diary entry about a storm a firsthand or secondhand account?
Firsthand, if the writer lived through the storm.
State your opinion, give reasons, and use linking words like because and for example. End with a concluding sentence.
Try it: Write one reason for this opinion: Our class should have a garden.
Sample answer: A garden teaches students how plants grow.
Use quotation marks around a speaker's exact words, and start a new paragraph when a new person speaks.
Try it: Add quotation marks to the spoken words: Come here, said Mom.
“Come here,” said Mom.