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2 years ago

3 3/5 + 9 3/5 answer with a mixed number in simplest form

Mathematics

1 answer:

Romashka [77]2 years ago

3 0

Both fractions have the same denominator so it's going to be easy. First set up your equation:

$3 \frac{3}{5} + 9 \frac{3}{5}$

Add the whole numbers:

$3 + 9 = 12$

Now add the fractions:

$\frac{3}{5} + \frac{3}{5} = \frac{6}{5}$

add both together:

$12 + \frac{6}{5} = 12 \frac{6}{5}$

$\frac{6}{5}$ is an improper fraction so change it:

$12 \frac{6}{5} = 13 \frac{1}{5}$

Since 6 is one more than 5, add 1 to the whole number and subtract the numerator and denominator(6 - 5 = 1) and make the remaining the new numerator. That leaves you with $13 \frac{1}{5}$

Your answer is $13 \frac{1}{5}$

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Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere and cube.

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Zaid has a peculiar pair of four-sided dice. When he rolls the dice, the probability of any particular outcome is proportional t

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Answer: a) $\bold{\dfrac{3}{16}}$ b) $\bold{\dfrac{1}{36}}$

Step-by-step explanation:

a) In order to get an even number, you have the 3 different scenarios:

1) Even, Even, Even, Even $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

2) Even, Even, Odd, Odd $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

3) Odd, Odd, Odd, Odd $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

Order doesn't matter

Add them up to get your answer: $\dfrac{1}{16}+\dfrac{1}{16}+\dfrac{1}{16}\quad =\large\boxed{\dfrac{3}{16}}$

b) If one die is a 2 and another is a 3 and the other two dice can be any number, then you have 1 possibility for a 2, 1 possibility for a 3, and 6 possibilities for each of the other two dice.

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3 years ago