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.
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).
- 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.
- 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.
- 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.
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.
- 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.
- 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.
- 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.
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.
- 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.
- 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.
- 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