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To multiply 1 3 by 1 1 4, you first convert the mixed numbers to improper fractions: 1 3 is equivalent to 4/3, and 1 1 4 is equivalent to 5/4. Then, you multiply the numerators (4 * 5 = 20) and the denominators (3 * 4 = 12) to get the product 20/12. Finally, you simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 4, resulting in the simplified fraction 5/3.
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X - 3 divided by 12 - 4x?
(x - 3)/(12 - 4x) = (x - 3)/[4(3 - x)] = (x - 3)/[-4(x - 3)] = 1/-4 = -(1/4)
What is three fourths of four fifths?
3/4 x 4/5 = 12/20 = 6/10 = 3/5 or three fifthsNotice that the fours cancel out. Think about writing it as:3 x (1/4) x 4 x (1/5) = 3 x [(1/4) x 4] x (1/5) = 3 x [1] x (1/5) = 3 x (1/5) = 3/5.
What is the solution of x2 plus x plus 1 equals 0?
x2 + x + 1 = 0 ∴ x2 + x + 1/4 = -3/4 ∴ (x + 1/2)2 = -3/4 ∴ x + 1/2 = ± √(-3/4) ∴ x = - 1/2 ± (i√3) / 2 ∴ x = (-1 ± i√3) / 2
What multiplies to 4 and adds to -3?
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What is the product of one third and three fourth?
1/3 x 3/4 = 1/4
