# How do you compare two fractions with the same denominator?

**Compare fractions with the same**numerator or the

**same denominator**(3.NF.A.3d)

**Compare two fractions with the same**numerator or the

**same denominator**by

**reasoning**about their size. Recognize that comparisons are valid only when the

**two fractions**refer to the

**same**whole.

A.

### How do you figure out which fraction is greater?

**Compare**

^{2}/_{3}and^{3}/_{5}and find out which fraction is bigger.- First look at the denominators (the bottom numbers).
- Find a new number that both denominators go into:
- Now you have found a new denominator that is divisable by both numbers, you need to change the numerators (the top numbers).

#### How do you add and subtract decimals?

**To add decimals, follow these steps:**- Write down the numbers, one under the other, with the decimal points lined up.
- Put in zeros so the numbers have the same length (see below for why that is OK)
- Then add using column addition, remembering to put the decimal point in the answer.

#### How can you subtract?

**Method 5****Subtracting a Fraction from a Whole Number**- Write down the problem.
- Turn the whole number into a fraction with the same denominator as the fraction.
- Rewrite the problem.
- Subtract the numerators of the fractions while keeping the denominator the same.
- Write your final answer.

#### How do you subtract a percentage?

If your calculator does not have a**percent**key and you want to add a**percentage**to a number multiply that number by 1 plus the**percentage**fraction. For example 25000+9% = 25000 x 1.09 = 27250. To**subtract**9**percent**multiply the number by 1 minus the**percentage**fraction. Example: 25000 - 9% = 25000 x 0.91 = 22750.

B.

### How can you compare fractions with the same denominator?

Step 1:

**Compare**denominators. If they are different, rewrite one or both**fractions**with a**common**denominator. Step 2: Check the**numerators**. If the denominators are the**same**, then the**fraction**with the greater**numerator**is the greater**fraction**.#### When the only common factor of the numerator and denominator is 1?

A fraction in which the greatest**common factor**of the**numerator**and the**denominator**is**1**is known as a reduced, or simplified, fraction. Quite often I**have**also heard this called a fraction in its lowest terms. This just means that the fraction**has**been reduced.#### How do you know if a fraction is equivalent?

A simple way to look at how to check for**equivalent fractions**is to do what is called “cross-multiply”, which means multiple the numerator of one**fraction**by the denominator of the other**fraction**. Then do the same thing in reverse. Now compare the**two**answers to see**if**they are**equal**.#### How do you work out the equivalent fractions?

**Summary:**- You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount.
- You only multiply or divide, never add or subtract, to get an equivalent fraction.
- Only divide when the top and bottom stay as whole numbers.

C.

### How do you add fractions if the denominators are different?

If the

**denominators**are not the same, then you have to**use**equivalent**fractions**which do have a common**denominator**. To do this, you need to find the least common multiple (LCM) of the two**denominators**. To add**fractions with unlike denominators**, rename the**fractions**with a common**denominator**. Then add and simplify.#### How do you divide fractions with other fractions?

**In order, the steps are:**- Leave the first fraction in the equation alone.
- Turn the division sign into a multiplication sign.
- Flip the second fraction over (find its reciprocal).
- Multiply the numerators (top numbers) of the two fractions together.
- Multiply the denominators (bottom numbers) of the two fractions together.

#### How do we multiply and divide fractions?

**Method 1****Multiplying Fractions**- Multiply the numerators of the fractions. The numerator is the number on the top of a fraction and the denominator is the number on the bottom.
- Multiply the denominators of the fractions. Now, you'll just have to do the same thing with the denominators.
- Simplify the fraction.

#### How do you divide by a fraction?

A simple way to**divide by a fraction**is to turn the**fraction**upside down and multiply. It works with all**fractions**. For example**dividing**by^{2}/_{3}is the same as multiplying by^{3}/_{2}. Notice that when you**divide by a fraction**the answer is larger than the number you started with.

Updated: 18th November 2019