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Dimas [21]
3 years ago
12

Simplify the following expression.( Fraction form) 7-5/6 * 7-7/6

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0

Answer:

1295/36

Step-by-step explanation:

the statement tell us:

(7-(5/6))*(7-(7/6))

we have:

(7-(5/6))=((6*7)-5)/6=(42-5)/6=37/6

and we have:

(7-(7/6))=((6*7)-7)/6=(42-7)/6=35/6

we need multiply both terms:

(37/6)*(35/6)=(37*35)/(6*6)

finally we have

1295/36

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Harry solves the equation 1/3t = 15. He says the solution is 30. Is his answer correct? Fill in the blanks to explain how Harry
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Harry can first substitute 30 for t

He can then multiply \frac{1}{3} by 30 to get a product of 10

Since, 10 is not equal to 15, Harry's solution is not correct.

<em><u>Solution:</u></em>

Given that,

Harry solves the equation:

\frac{1}{3}t = 15

He says the solution is 30

We have to check if his answer is correct or not

<em><u>Fill in the blanks to explain how Harry can check whether his solution is correct</u></em>

Harry can first substitute 30 for t

\frac{1}{3} \times 30 = 15

He can then multiply \frac{1}{3} by 30 to get a product of 10

10\neq 15

Since, 10 is not equal to 15, Harry's solution is not correct

<em><u>Correct solution:</u></em>

\frac{1}{3}t = 15\\\\t = 15 \times 3\\\\t = 45

Thus correct solution is 45

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