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Answer :
On multiplying the expression [tex]\frac{13}{15} \times \frac{4}{13}[/tex] we get [tex]\frac{4}{15}[/tex] in the reduced form
Given: [tex]\frac{13}{15} \times \frac{4}{13}[/tex]
To find: their product
To find the product of the given expression we can multiply as follows:
[tex]\frac{13}{15} \times \frac{4}{13} = \frac{13 \times 4}{15 \times 13}[/tex]
Now we can see that both the numerator and denominator has 13. So, to simplify our expression we can divide both numerator and denominator by 13 which gives us:
[tex]\frac{(13 \times 4)/13}{(15 \times 13)/13} = \frac{4}{15}[/tex]
Now since 4 and 15 do not have any common factor, we cant simplify this fraction further.
Thus, on multiplying the expression [tex]\frac{13}{15} \times \frac{4}{13}[/tex] we get [tex]\frac{4}{15}[/tex] in the reduced form
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Final answer:
To multiply fractions, multiply the numerators and denominators separately. The product of (13/15) and (4/13) is 4/15.
Explanation:
To multiply fractions, simply multiply the numerators together and the denominators together. In this case, the numerator of the first fraction, 13, is multiplied by the numerator of the second fraction, 4, to give 52. Similarly, the denominator of the first fraction, 15, is multiplied by the denominator of the second fraction, 13, to give 195. Therefore, the product of the two fractions is 52/195.
In order to reduce the fraction to its simplest form, we need to find the greatest common divisor (GCD) of the numerator and denominator. Both 52 and 195 are divisible by 13, so we divide both numbers by 13. This gives us a reduced fraction of 4/15. Therefore, the product of (13/15) and (4/13) is 4/15.
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