Fraction Comparing Using standard symbols. This is about fraction which have different numerators and denominators. Comparing fractions can be a tricky concept for kids to understand, but it is an important skill to have in order to solve many math problems. In this quiz, we will be comparing two fractions to see which one is larger or smaller.

To start, let’s define what a fraction is. A fraction is a way to represent a part of a whole. It is written as two numbers separated by a line, with the top number representing the numerator and the bottom number representing the denominator. For example, the fraction 1/2 represents one half of a whole.

Now, let’s talk about how to compare fractions. There are a few different methods we can use, depending on the fractions we are working with.

One method is to find a common denominator for the two fractions. A common denominator is a number that is a multiple of both of the denominators. For example, if we have the fractions 1/3 and 1/4, we can find a common denominator by multiplying the two denominators together to get 12.

This means that we need to rewrite both fractions with a denominator of 12. To do this, we can multiply the numerator and denominator of each fraction by a number that will give us the same value as the original fraction, but with a denominator of 12. For 1/3, we can multiply both the numerator and denominator by 4 to get 4/12. For 1/4, we can multiply both the numerator and denominator by 3 to get 3/12.

Now that we have both fractions with a common denominator, we can compare them by looking at the numerators. In this case, 3 is less than 4, so 1/4 is smaller than 1/3.

Another method we can use to compare fractions is to use a benchmark fraction. A benchmark fraction is a fraction that is easy to compare to other fractions, such as 1/2 or 1/4. For example, if we have the fractions 2/5 and 3/7, we can use the benchmark fraction 1/2 to compare them.

To do this, we can rewrite both fractions as decimals by dividing the numerator by the denominator. 2/5 is equal to 0.4 as a decimal, and 3/7 is equal to 0.42857142857142857. Now we can compare these decimals to 1/2, which is equal to 0.5. Since 0.4 is less than 0.5, we know that 2/5 is smaller than 1/2. And since 0.42857142857142857 is also less than 0.5, we know that 3/7 is also smaller than 1/2.

There is one more method we can use to compare fractions, and that is to find a common multiple of the two fractions. A common multiple is a number that is a multiple of both of the fractions. For example, if we have the fractions 3/8 and 5/12, we can find a common multiple by multiplying the two fractions together to get 15/96. This means that we need to rewrite both fractions with a denominator of 96.

To do this, we can multiply the numerator and denominator of each fraction by a number that will give us the same value as the original fraction, but with a denominator of 96. For 3/8, we can multiply both the numerator and denominator by 12 to get 36/96. For 5/12, we can multiply both the numerator and denominator by 8 to get 40/96. Now that we have both fractions with a common denominator, we can compare them by looking.

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