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If a fraction is equivalent to one-half then the numerator is always half the denominator. Or, the double the numerator is the denominator.

So, given any other fraction, p/q,

if 2p < q then the fraction < 1/2

if 2p = q then the fraction = 1/2

if 2p > q then the fraction > 1/2

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If a fraction is equivalent to one-half then the numerator is always half the denominator. Or, the double the numerator is the denominator.

So, given any other fraction, p/q,

if 2p < q then the fraction < 1/2

if 2p = q then the fraction = 1/2

if 2p > q then the fraction > 1/2

So, given any other fraction, p/q,

if 2p < q then the fraction < 1/2

if 2p = q then the fraction = 1/2

if 2p > q then the fraction > 1/2

Q: How could you use the relationship between the numerator and denominator of fractions equivalent to one-half to determine if a fraction is less than one-half?

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Because to add or subtract two fractions you first have to find equivalent fractions for both which have the same denominator.

If you are adding or subtracting unlike fractions, convert them to equivalent fractions with a common denominator.

Find the equivalent fractions with the same denominator (the least common multiple) and then compare the numerators.

In order to add and subtract fractions with unlike denominators, it is necessary to convert them to equivalent fractions with a common denominator. Example: 1/4 + 1/6 The LCM of 4 and 6 is 12. 1/4 = 3/12 1/6 = 2/12

Two fractions are equivalent if the fully simplified fractions are equal. If you can multiply the fraction with the smaller numerator and denominator by the same value to equal the second fraction. For example the fractions 3/4 and 9/12. The nominator and denominator, 3 and 4 have both been multiplied by 3 to equal 9/12. Cross multiply. If the products are equal, the fractions are equal. Cross multiplying means to multiply each numerator of one fraction with the denominator of the other fraction.

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The denominator must be double the numerator.

If the denominator is more than double the numerator, then the fraction is less than a half.

Convert them into equivalent fractions with the same denominator and then compare the numerators.

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No. Like fractions have the same denominator.

You look for a common denominator; convert the fractions to equivalent fractions with the denominator you found; then you do the addition itself.

Divide the denominator into the numerator. If the answers are the same decimal, the fractions are equivalent.

Fractions can only be added or subtracted if the denominators are the same. If the denominators are different, then the fractions need to be made into equivalent fractions with the same denominator. The new denominator can be found simply by multiplying the denominators together, but this can lead to some large fractions with which to work. A better new denominator is the lowest common multiple of (all the) denominators. (Once the new denominator is found, the fractions' new numerators are found by multiplying their current numerator by the new denominator divided by their current denominator to make their equivalent fractions with the new denominator.) Once all the fractions are converted into equivalent fractions with the new denominator then the fractions can be added or subtracted, with the result being simplified (if possible).

In fractions equivalent to 1/2, the numerator is half of the denominator. Any fraction where the numerator is less than half of the denominator, like 19/40, is less than 1/2. Any fraction where the numerator is more than half of the denominator, like 49/96, is greater than 1/2. That's also a quick way to compare fractions. 4/9 is less than 5/8.

That is how equivalent fractions are defined!

Because to add or subtract two fractions you first have to find equivalent fractions for both which have the same denominator.

If you are adding or subtracting unlike fractions, convert them to equivalent fractions with a common denominator.