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If you had five things and you added seven things to them, you would end up with twelve things. That's true of anything: marbles, pennies, socks, fifteenths, twenty-sevenths...

It's true of whole numbers too. Every whole number can be written over one.

5 + 7 = 5/1 + 7/1 = 12/1 = 12

5/27 + 7/27 = 12/27

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Q: When adding like fractions why is the numerator the only part that changes?
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How is multiplying fractions by a whole number is different from adding adding and subtracting fractions with like denominators?

Adding and subtracting fractions can ONLY be done if the denominators are the same; then the calculation is done by adding or subtracting the numerators. Multiplying (and dividing) fractions does not require the denominators to be the same. To divide by a fraction the divisor is inverted (the original numerator becomes the new denominator and the original denominator becomes the new numerator) and then the fractions are multiplied. Multiplying fractions is achieved by multiplying the numerators together AND multiplying the denominators together. A whole number is the same as a fraction with the whole number as the numerator and a denominator of 1, so when multiplying by a whole number the denominator is multiplied by 1 (leaving it the same) and the is multiplication is effectively just multiplying the numerator by the whole number.


What is the definition of adding and subtracting fractions with unlike denominators?

What is the definition of Adding and Subtracting Like Fractions


When fractions have like denominators the larger the what the larger the fraction?

When you have fractions with like denominators, the larger is the one with the larger numerator.


When subtracting like fractions what happens to the numerator and the denominator?

The fractions are re-scaled so that the denominators are the same and then the numerators are subtracted as required by the signs.


Reducing rational expressions is a lot like reducing numerical fractions you first need to do what to the numerator and denominator?

factor

Related questions

Fractions with same numerator are called?

Fractions with the same numerator are called like fractions


How is multiplying fractions by a whole number is different from adding adding and subtracting fractions with like denominators?

Adding and subtracting fractions can ONLY be done if the denominators are the same; then the calculation is done by adding or subtracting the numerators. Multiplying (and dividing) fractions does not require the denominators to be the same. To divide by a fraction the divisor is inverted (the original numerator becomes the new denominator and the original denominator becomes the new numerator) and then the fractions are multiplied. Multiplying fractions is achieved by multiplying the numerators together AND multiplying the denominators together. A whole number is the same as a fraction with the whole number as the numerator and a denominator of 1, so when multiplying by a whole number the denominator is multiplied by 1 (leaving it the same) and the is multiplication is effectively just multiplying the numerator by the whole number.


How is adding fractions like adding whole numbers?

adding fractions is like adding a WHOLE lot of parts of numbers


How is the procedure for adding like terms is similar to the procedure for adding fractions?

Adding like terms can be like adding fractions. You can only add fractions with a common denomonator. You can only combine terms together if they are like. Think of like terms as denomonators. You can only add if they are like.


What is the definition of adding and subtracting fractions with unlike denominators?

What is the definition of Adding and Subtracting Like Fractions


When fractions have like denominators the larger the what the larger the fraction?

When you have fractions with like denominators, the larger is the one with the larger numerator.


When fractions have like denominatorsthe larger the what the larger the fraction?

the numerator


Before adding or subtracting two fractions they are converted into like fractions Explain with examples why this is necessary?

Before adding or subtracting two fractions they are converted into like fractions. Explain with examples why this is necessary.


Do you change fractions 2 like fractions when adding them?

Yes, you must.


When fractions have like denominators the larger the makes the fraction larger?

Numerator.


How is subtracting fractions like adding fractions?

You need a common denominator for both.


Before adding or subtracting Why are fractions turned into like fractions?

They have to have the same denominator.