Compare 2/3 and 3/4.
Compare 3/8 and 5/6.
2/3 is slightly smaller/less than 3/4. You can tell when you make them have the same denominator:
8/12 and 9/12
3/8 is noticeably smaller/less than 5/6:
9/24 and 20/24
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To compare fractions, you can use a common denominator or convert the fractions into decimal form.
1. Comparing 2/3 and 3/4:
- Method 1: Using a common denominator.
To compare 2/3 and 3/4, we can find a common denominator for both fractions, which is 12.
Multiplying the numerator and denominator of 2/3 by 4, we get 8/12.
Multiplying the numerator and denominator of 3/4 by 3, we get 9/12.
Now, we can compare the fractions: 8/12 is less than 9/12.
Therefore, 2/3 is less than 3/4.
- Method 2: Converting to decimal form.
Converting 2/3 to a decimal, we divide 2 by 3, which equals approximately 0.6667.
Converting 3/4 to a decimal, we divide 3 by 4, which equals 0.75.
Comparing the decimals, 0.6667 is less than 0.75.
Hence, 2/3 is less than 3/4.
2. Comparing 3/8 and 5/6:
- Method 1: Using a common denominator.
To compare 3/8 and 5/6, we can find a common denominator for both fractions, which is 24.
Multiplying the numerator and denominator of 3/8 by 3, we get 9/24.
Multiplying the numerator and denominator of 5/6 by 4, we get 20/24.
Now, we can compare the fractions: 9/24 is less than 20/24.
Therefore, 3/8 is less than 5/6.
- Method 2: Converting to decimal form.
Converting 3/8 to a decimal, we divide 3 by 8, which equals 0.375.
Converting 5/6 to a decimal, we divide 5 by 6, which equals approximately 0.8333.
Comparing the decimals, 0.375 is less than 0.8333.
Hence, 3/8 is less than 5/6.