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
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 Like Fractions
When you have fractions with like denominators, the larger is the one with the larger numerator.
The fractions are re-scaled so that the denominators are the same and then the numerators are subtracted as required by the signs.
factor
Fractions with the same numerator are called like fractions
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.
adding fractions is like adding a WHOLE lot of parts of numbers
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 Like Fractions
When you have fractions with like denominators, the larger is the one with the larger numerator.
the numerator
Before adding or subtracting two fractions they are converted into like fractions. Explain with examples why this is necessary.
Yes, you must.
Numerator.
You need a common denominator for both.
They have to have the same denominator.