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Since 4 is greater than 3, you might think that 1/4 is greater than 1/3. But if you know that 1/3 = 4/12 and 1/4 = 3/12, it makes them easier to compare.

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Q: How do equivalent fractions make it easy to compare?
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Are the fractions half and Three fourths equivalent?

To compare if they are the same (ie equivalent fractions), make them both into equivalent fractions with the same denominator and compare the numerators. To find equivalent fractions multiply (or divide) both the numerator and denominator by the same number. → 1/2 = (1×2)/(2×2) = 2/4 → 3/4 = 3/4 The two fractions now have the same denominator (4), so compare their numerators: ½ now has a numerator of 2 whereas ¾ (still ) has a numerator of 3. 2 does not equal 3 so ½ does not equal ¾; ie ½ and ¾ are not equivalent fractions.

What does percent mean when used to make a comparison?

One way to compare two fractions is to convert both to a common denominator. Then the only difference is in the numerator. Comparison of the numerator is then sufficient to compare the fractions. A percentage is equivalent to converting the fractions to a denominator of 100.

How do you compare improper fractions with larger numerators than denominators?

The same way as proper fractions. Make sure the denominators are the same. If they're not, convert them to equivalent fractions with similar denominators. Then you can see which numerator is greater.

Is 1 over 2 greater than 5 over 10?

I suggest you convert the fractions to a common denominator; that should make it easy to compare them.

How do you add and subtract dissimilar fractions?

Make the fractions equivalent then subtract

How do you compare fractions without common denominators?

Make them into decimals. Make them into decimals.

Why does the equivalent fraction make adding and subtracting fractions easier?

You cannot add or subtract fractions with different denominators. If the denominators are different then you need to work with equivalent fractions.

Find the missing number to make fractions equivalent?

---- 3 fifths is equivalent to ? tenths

What do graphs make it easy to do?

Compare data

How do you add fractions step by step?

you make fractions equivalent denominators, you add the numerators and put it over the denominator

What must you do first before adding or subtracting unlike fractions?

you must make the fractions equivalent and with the same denomenator

How does interpreting decimals as fractions help you make sense of adding and subtracting decimals?

Decimals are fractions. Fractions are easy to picture graphically. Considering them in a concrete fashion makes the basic operations of addition and subtraction easy to visualize.