how to cross multiply and divide fractions

To multiply fractions, start by multiplying the numerators, or top number of each fraction. Multiply the three numerators together to get the final numerator. An incomplete simplification might as well be no simplification at all. Next, set the 2 products equal to each other. (Another way of looking at it is to convert the 8 to the fraction 8/1, then create a new fraction by multiplying the two numerators together to get the new numerator, and multiplying the two denominators together to get the new denominator, which will be the same as the old denominator. A fraction normally is a number that is written in the form a/b where a and b are integers and b is a … Cross-multiplying works only when one fraction is set equal to the other. So (3k + 3) = (4k - 48). If you really can’t stand to see another ad again, then please consider supporting our work with a contribution to wikiHow. By using our site, you agree to our. Multiply the numerators together: anything sitting on top of the fraction gets multiplied together. Three-fifths of two hundred women means (3/5)x200 or 120 women. Reduce the fraction if possible. I said "top" and "bottom" of the fractions ... but the correct words are numerator and denominator, OK? 4 Please help us continue to provide you with our trusted how-to guides and videos for free by whitelisting wikiHow on your ad blocker. Multiply the left-side proportion by 5/5 and you have 10/13 = 10/13, a valid statement that cancels down to 1 = 1. 8 × 3 To divide fractions, you simply have to flip the numerator and denominator of one of the fractions, multiply the result by the other fraction, and simplify. Then add the numerators or subtract them. ""2 goes into 6 three (3) times."" Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction. What are the steps to multiplying fraction with common and different denominators? 2 This article has been viewed 430,609 times. Do it one step at a time. Same as with positive fractions, except the sign of the answer may be affected. Cross-cancelling can be used at anytime to save yourself work simplifying. In word problems, the word "of" typically indicates multiplication. If one of the fractions is negative, the answer will be negative. Often, you can start with 2 if it is an even number. Step 3: We can get rid of the 12 × 3 (as we are dividing both sides by the same amount) and the equation is still true: In practice, though, it is easier to skip the steps and go straight to the "cross-multiplied" form. Like in this example: Check: Does This becomes the numerator of your answer. Multiply that quotient by the ratio number representing the non-members (11): (11)(11) = 121 non-members. You see what the value you would get from multiplying the numbers, or from dividing them. Remember to simplify completely. = We use cookies to make wikiHow great. Multiply 65 by 0.3. {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/2\/2e\/Cross-Multiply-Step-1-Version-4.jpg\/v4-460px-Cross-Multiply-Step-1-Version-4.jpg","bigUrl":"\/images\/thumb\/2\/2e\/Cross-Multiply-Step-1-Version-4.jpg\/aid1454213-v4-728px-Cross-Multiply-Step-1-Version-4.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"