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Q: Do you need a common denominator for dividing fractions?

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Yes.

Because if there's no common denominator it'll be hard to simplify. And will cause you to get a headache.

They GCF and LCM are useful in working with fractions: In simplifying a fraction dividing the numerator (top) and denominator (bottom) by the same number reduces the fraction. By dividing through by the GCF of the numerator and denominator the fraction cannot be simplified any further (except converting improper (top heavy) fractions to mixed numbers). For large numbers, it may not be obvious what are the common factors of the numerator and denominator so using a general algorithm to find their GCF makes this easier. When adding or subtracting fractions a common denominator is needed. One number which is guaranteed to work is to multiply all the denominators together. However, this can lead to extremely large numbers which can be difficult with which to work and lead to a fraction that will require simplifying. By using the LCM as the new denominator (hence its alternative name of LCD - Lowest Common Denominator) it ensures the numbers shouldn't get too big and should be easier with which to work.

Answer: When adding or subtracting fractions with different denominators it is important to change the denominators into the lowest common denominator by using equivalent fractions. Answer: Equivalent fractions are used to: * Simplify fractions. It is sort of inelegant to write the final solution of a problem as 123/246, when you can just as well write it as 1/2. * Add fractions. If two fractions have different denominators, you need to convert them to equivalent fractions that have the same denominator. Only then can you add. * Subtract fractions (same as addition). * Compare fractions, to check which one is larger (same as addition).

1 Fractions are parts of whole numbers or integers 2 Fractions have numerators above their denominators 3 Fractions have a solidus line that separates the numerator from the denominator 4 Fractions can be common as for example 3/4 5 Fractions can be improper or 'top heavy' as for example 22/7 6 Fractions can form part of a mixed number as for example 3 and 1/7 7 Fractions can be converted into percentages as for example 1/2 = 50% 8 Fractions can be converted into decimals as for example 3/4 = 0.75 9 Fractions can be equivalent as for example 5/8 = 10/16 10 Fractions need a common denominator when adding or subtracting them 11 Fractions can easily be multiplied or divided without a common denominator 12 Fractions are rational numbers 13 Fractions can never ever be irrational numbers 14 Fractions are turned into decimals by dividing the denominator into the numerator 15 Fractions can be turned into improper fractions from mixed numbers 16 Fractions are used in algebra and trigonometry 17 Fractions are used in converting Celsius into Fahrenheit 18 Fractions must first be eliminated when solving equations 19 Fractions can be the solutions of quadratic equations 20 Fractions can be turned into scientific notation: 1/5000 = 2.0*10^-4 21 Fractions are in their lowest therms when their HCF is 1 22 Fraction derives from a Latin word meaning to break apart 23 Fractions were used by the ancient Romans to a limited extent 24 Fractions can be the solutions of simultaneous equations 25 Fractions can be the x and y coordinates on the Cartesian plane

Related questions

You don't need a common denominator to divide fractions.

No you do not.

You don't need a common denominator to divide fractions.

No, you only need a common denominator when adding or subtracting fractions.

When you're dividing fractions ... or multiplying thrm ... they don't need to have the same denominator.

No. Common denominators are needed for addition and subtraction, not multiplication or division.

Option 1: Find a common denominator for the two fractions. It need not be the least common denominator; for example, for two fractions, if you just multiply the two denominators, you get a common denominator. Convert all the fractions to the common denominator. Then you can compare. Option 2: Convert each fraction to decimal, by dividing the numerator by the denominator. Then you can compare the decimals.

You DO need a common denominator to add, subtract, or compare fractions. You DO NOT need a common denominator to multiply or divide fractions.

No. Dividing fractions is achieved by inverting the divisor and multiplying the resulting fractions. To multiply fractions the numerators are multiplied together to form the new numerator and the denominators are multiplied together to form the new denominator.

No, You only need a common denominator when adding or subtracting fractions.

No.

No.

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