4 years ago

Help solve lowest term of 836/54 please

Mathematics

1 answer:

schepotkina [342]4 years ago

8 0

The lowest term of 836/54 is 418/27!

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Stella [2.4K]

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Answer:

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Grace [21]

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Step-by-step explanation:

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3 years ago

svetlana [45]

Answer:

$\large \boxed{\sf \text{The rate of the boat is } 53 \ km/h \text{, the rate of the current is }8\ km/h \ \ }$

Step-by-step explanation:

Hello, let's note v the rate of the boat and r the rate of the current. We can write the following

$\dfrac{135}{v-r}=3=\dfrac{183}{v+r}$

It means that

$135(v+r)=183(v-r)\\\\135 v + 135r=183v-183r\\\\\text{ *** We regroup the terms in v on the right and the ones in r to the left***}\\\\(135+183)r=(183-135)v\\\\318r=48v\\\\\text{ *** We divide by 48 both sides ***}\\\\\boxed{v = \dfrac{318}{48} \cdot r= \dfrac{159}{24} \cdot r}$

But we can as well use the second equation:

$3(v+r)=183\\\\v+r=\dfrac{183}{3}=61\\\\\dfrac{159}{24}r+r=61\\\\\dfrac{159+24}{24}r=61\\\\\boxed{r = \dfrac{61*24}{183}=8}$

and then

$\boxed{v=\dfrac{159*8}{24}=53}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0

3 years ago