Compare the fractions . Write >or< for the 🔲, use fraction tiles or number lines to help you.
2/8 🔲 1/3
2/6🔲 2/8
2/3🔲 3/4
1/8 🔲1/4
1/10🔲2/6
3/4🔲1/6
I'll be glad to check your answers.
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Write the fractions in decimal form, then compare them.
2 / 8 = 2 * 1 / ( 2 * 4 ) = 1 / 4 = 0.25
1 / 3 = 0.3333
2 / 6 = 2 * 1 / ( 2 * 3 ) = 1 / 3 = 0.333
2 / 3 = 0.666
3 / 4 = 0.75
1 / 8 = 0.125
1 / 4 = 0.25
1 / 10 = 0.1
1 / 6 = 0.166
To compare fractions, we can find a common denominator and then compare the numerators. Here are the comparisons:
1) 2/8 🔲 1/3
Let's find a common denominator: 8 and 3 have a common multiple of 24.
2/8 = 6/24
1/3 = 8/24
Since 8/24 is greater than 6/24, we can write: 2/8 < 1/3
2) 2/6 🔲 2/8
Let's find a common denominator: 6 and 8 have a common multiple of 24.
2/6 = 8/24
2/8 = 6/24
Both fractions are equal, so we can write: 2/6 = 2/8
3) 2/3 🔲 3/4
Let's find a common denominator: 3 and 4 have a common multiple of 12.
2/3 = 8/12
3/4 = 9/12
Since 9/12 is greater than 8/12, we can write: 2/3 < 3/4
4) 1/8 🔲1/4
Let's find a common denominator: 8 and 4 have a common multiple of 8.
1/8 is already in its simplest form.
1/4 = 2/8
Since 2/8 is greater than 1/8, we can write: 1/8 < 1/4
5) 1/10 🔲 2/6
Let's find a common denominator: 10 and 6 have a common multiple of 30.
1/10 = 3/30
2/6 = 10/30
Since 10/30 is greater than 3/30, we can write: 1/10 < 2/6
6) 3/4 🔲 1/6
Let's find a common denominator: 4 and 6 have a common multiple of 12.
3/4 = 9/12
1/6 = 2/12
Since 9/12 is greater than 2/12, we can write: 3/4 > 1/6
To compare fractions, we need to find a common denominator for the fractions. The denominator is the bottom number of a fraction, and the numerator is the top number. Let's go through each comparison step by step:
1) 2/8 🔲 1/3
To compare these fractions, let's find a common denominator. The common denominator for 8 and 3 is 24. So, we need to rewrite both fractions with a denominator of 24.
2/8 = 6/24
1/3 = 8/24
Now, we can see that 6/24 is less than 8/24. Therefore, we can write:
2/8 < 1/3
2) 2/6 🔲 2/8
Again, let's find a common denominator for these fractions. The common denominator for 6 and 8 is 24.
2/6 = 8/24
2/8 = 6/24
Now, we can see that 8/24 is greater than 6/24. Therefore, we can write:
2/6 > 2/8
3) 2/3 🔲 3/4
To compare these fractions, we can observe that the denominators are already different, so we don't need to find a common denominator. We can directly compare them.
Since 2/3 is less than 3/4, we write:
2/3 < 3/4
4) 1/8 🔲 1/4
Once again, let's find a common denominator for these fractions. The common denominator for 8 and 4 is 8, which they already share.
1/8 = 1/8
1/4 = 2/8
Now, we can see that 1/8 is less than 1/4. Therefore, we can write:
1/8 < 1/4
5) 1/10 🔲 2/6
To compare these fractions, we need to find a common denominator. The common denominator for 10 and 6 is 30.
1/10 = 3/30
2/6 = 10/30
Now, we can see that 3/30 is less than 10/30. Therefore, we can write:
1/10 < 2/6
6) 3/4 🔲 1/6
To compare these fractions, we need to find a common denominator. The common denominator for 4 and 6 is 12.
3/4 = 9/12
1/6 = 2/12
Now, we can see that 9/12 is greater than 2/12. Therefore, we can write:
3/4 > 1/6
So, to summarize the comparisons:
2/8 < 1/3
2/6 > 2/8
2/3 < 3/4
1/8 < 1/4
1/10 < 2/6
3/4 > 1/6