how do you divide fractions?
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The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.
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['Factor the denominator of the first fraction. ... ', 'Find the LCD, which is (x − 2)(x − 3).', 'Multiply the numerator and denominator of the second fraction by (x − 3) and the numerator and denominator of the third fraction by (x − 2):']
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Then, adjust the fractions to have like denominators by multiplying the new fraction by the denominator of the original fraction. Subtract the numerators of the two numbers, and convert the answer to a mixed number if necessary. Remember to reduce the fraction if possible or divide it into a whole number.
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Divide the percentage by 100 to get a decimal number. Use that number as the numerator (top) of a fraction. Put a 1 in the denominator (bottom) of the fraction. Convert the decimal to a whole number: Count how many places are to the right of the decimal.
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To do this, give the whole number a denominator of 1. Convert to fractions of like denominators. The original fraction's denominator is also the least common denominator (LCD) of the two fractions. Multiply the top and bottom of the "whole number fraction" by this number so the fractions have the same denominator.
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The math to determine a percentage is to divide the numerator (the number on top of the fraction) by the denominator (the number on the bottom of the fraction), then multiply the answer by 100.
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['Let the number be x.', 'To find one-third of a number, divide the number by 3 ,', 'x÷3.']
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['Rewrite the equation as in "Keep, Change, Flip"', 'Keep the first fraction.', 'Change the division sign to multiplication.', 'Flip the second fraction by switching the top and bottom numbers.', 'Multiply all numerators together.', 'Multiply all denominators together.', 'Reduce the result to lowest terms.']
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['Cross-multiply the two fractions and subtract the second number from the first to get the numerator of the answer. For example, suppose you want to subtract 6/7 – 2/5. ... ', 'Multiply the two denominators together to get the denominator of the answer. 7 5 = 35.', 'Putting the numerator over the denominator gives you your answer.']
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['Step I: Obtain the percentage.', 'Step II: Convert the given percentage into fraction by dividing it by 100 and removing percentage symbol (%).', 'Step III: Reduce the fraction obtained in step II in the simplest form.', 'Step IV: Write the fraction obtained in step III as a ratio.']
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['Rewrite the problem in vertical form.', 'Compare the two fractions. If the top fraction is larger than the bottom fraction, go to Step 3. ... ', 'Subtract the fractions.', 'Subtract the whole numbers.', 'Simplify, if possible.']
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If you want to divide any fraction in half you must first represent the fraction in such a way that the numerator can be divided in half, or whatever you are asking of it. e.g. 1/3 is equivalent to 2/6, so 1/6 is half of 2/6. Therefore half of 1/3 = 1/6.
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['Make sure the bottom numbers (the denominators) are the same.', 'Subtract the top numbers (the numerators). ... ', 'Simplify the fraction (if needed).']
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['To simplify a ratio of decimals we remove the decimal point and reduce the ratio to a ratio of whole numbers.', 'We multiply the numerator and denominator of the ratio in fraction form by a 10, 100, 1000 i.e., a power of ten to eliminate the decimal.']
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15 instead of the correct equivalent of 0.2. Lee's picture shows that he divided 1 whole (1.0, or 10 tenths) into 5 parts and shaded 1 part to get 2 tenths. A common procedure for converting a fraction to a decimal number is to divide 1 (or 1.0 or 10 tenths) by 5 to get 0.2.
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['The bottom numbers are different. See how the slices are different sizes? ... ', 'To make the bottom numbers the same, multiply the top and bottom of the first fraction (1/2) by 3 like this:', 'Subtract the top numbers and put the answer over the same denominator:', 'Simplify the fraction:']
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['Step 1 Find the least common denominator of the two fractions.', 'Step 2 Change each fraction to an equivalent fraction having the least common denominator.', 'Step 3 Find the difference of the numerators and place this result over the least common denominator.']