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# 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?

Updated: 4/28/2022

Wiki User

10y ago

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

Wiki User

10y ago

Wiki User

10y ago
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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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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Related questions

### How could you use the relationship between the numerator and denominator of fractions equivalent to one-half to determine if a fraction is equal to one-half?

The denominator must be double the numerator.

### 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?

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

### What do you do when comparing fractions and the denominator and the numerator are different?

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

### Can you call 2 equivalent fraction like fractions?

No. Like fractions have the same denominator.

### How do you add fractions with unlike denometiors?

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

### How can you tell if fractions are equivalent?

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

### Adding and subtracting unlike denominators?

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).

### How coule you use the relationship between the numerator and denominator of fractions equivalent to one-half to determine if a fraction is greater than one-half?

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.

### Why the you have to multiply the numerator and the denominator to get the equivalent fraction?

That is how equivalent fractions are defined!

### Why are equivalent fractions important when adding and subtracting fractions?

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

### How do you solve a fraction problem when you don't have the same denominator?

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