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dangina [55]
3 years ago
9

How do you multiply fractions by improper fractions

Mathematics
1 answer:
katovenus [111]3 years ago
4 0
Well you  have to Multiply the numerators together and then <span>Multiply the denominators together after that you simplify </span><span>Convert the improper fraction (if it is improper) to a mixed fraction answer. To do this divide the denominator into the numerator finding the quotient and remainder.</span>the fraction and then  
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To prove that ΔDEF ≅ ΔDGF by SAS, what additional information is needed?
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Given: In  ΔDEF  and ΔDGF, Side DF is common.

To prove congruent of the triangle, we must require the minimum three conditions; like two sides and one angle of one triangle should be equal to the other triangle. OR Three sides of one triangle should be equal to the other triangle. OR Two angles and one side of one triangle should be equal to the other triangle. etc.  

As per given question, to prove congruent of given triangles by SAS property then we should have given two sides and one angle of one triangle should be equal to the other triangle as additional information.  

Since,  In  ΔDEF  and ΔDGF, Side DF is common. So, we should require only one side and one angle that should be equal to another triangle.

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If a = 2^3 x 3^7 x 5^3 x 11^4 and b = 2^2 x 3^9 x 7^2 x 11 x 13, find the following: A. GCF (a, b) B. LCM (a, b)
timofeeve [1]

Answer:

A. GCF(a,b) = 2^2 \times 3^7 \times 11

B. LCM(a,b) = 2^3 \times 3^9 \times 5^3 \times 7^2 \times 11^4 \times 13

Step-by-step explanation:

The GCF of two or more integers is their greatest common factor. In order to find it, you must factorise them first and then do the product of the factors that appear in all the factorisations, with their least exponent.

Hence, the GCF of a and b is 2^2 \times 3^7 \times 11.

The LCM of two or more integers is their least common multiple. In order to find it, you must factorise them first and then do the product of the multiples that appear in one or all the factorisations, with their greatest exponent.

Hence, the LCM of a and b is  2^3 \times 3^9 \times 5^3 \times 7^2 \times 11^4 \times 13

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