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Sindrei [870]
3 years ago
6

6 3/10 divided by 9/5

Mathematics
2 answers:
ankoles [38]3 years ago
6 0
60/3 ÷ 9/5
60/3 × 5/9
300/27
= 100/9
= 11 \frac{1}{9}
hram777 [196]3 years ago
5 0
6\frac{3}{10} ÷ \frac{9}{5} → First step is to make all the fractions improper.

\frac{63}{10} ÷ \frac{9}{5} → Now you want to flip the second fraction and multiply.

\frac{63}{10} * \frac{5}{9} → Multiply the fractions by multiplying the top numbers and then the bottom numbers. There is a simple trick I will explain later.

\frac{315}{90} → Reduce this fraction to lowest terms (The largest factor in both is 45, so divide each side by 45)

\frac{7}{2} → In decimals this is 3.5, in mixed fractions this is 3\frac{1}{2}, and in percent this is 350%.

The little trick is you can <span>cancel out numbers with common factors on the diagonals during the multiplication of fractions.

</span>\frac{63}{10} * \frac{5}{9}

The 63 and 9 are on diagonals. They both have a common factor of 9, so divide both numbers by 9. Now the fractions looks like:

\frac{7}{10} * \frac{5}{1}

The 10 and 5 are on diagonals. They both have a common factor of 5, so divide both numbers by 5. Now the multiplication looks like:

\frac{7}{2} * \frac{1}{1} → easily multiplies to \frac{7}{2}

Look how simple that was? The multiplication is already reduced into lowest terms. All you need to do is divide common factors.
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Step-by-step explanation:

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Synthetic division confirms that the remainder from division by (x -4) is zero, so x=4 is another x-intercept. The result of the synthetic division confirms that x=-3 is the remaining x-intercept.

The x-intercepts of f(x) are -3, 1, 4. These are the points you want to plot on your number line.

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100

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