Mathematics: Find the greatest rational number r such that the ratios 8/15 ÷ r and 18/35 ÷ r are whole numbers?

Find the greatest rational number r such that

Ответ:

dmgboos6

03.09.2021

Mathematics

The answer is " $\bold{\frac{2}{105}}$ ", and the further calculation can be defined as follows:

When the "r" is the greatest common divisor for the two fractions.

So, we will use Euclid's algorithm:

$\to \bold{(\frac{8}{15}) -(\frac{188}{35})}\\\\\to \bold{(\frac{8}{15} -\frac{188}{35})}\\\\\to \bold{(\frac{56-54}{105})}\\\\\to \bold{(\frac{2}{105})}\\\\$

this is $\bold{(\frac{8}{15}) \ \ mod \ \ (\frac{18}{35})}$

we can conclude that the GCD for $\bold{\frac{54}{105}}$ , when divided by $\bold{\frac{2}{105}}$ , will be the remainder is 0. Rational numbers go from $\bold{\frac{2}{105}}$ with the latter being the highest.

So, the final answer is " $\bold{\frac{2}{105}}$ ".

Learn more:

greatest rational

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Ответ:

2000070489

03.01.2023

Mathematics

The independent variable is m (number of miles) and the dependent variable is e (the cost).

Step-by-step explanation:

In this situation, if you were to graph the equation on the number line ,

M will be the x and e will be the y.And we know most of the time that x is independent in that situations and y is dependent.

The cost of depends on how many miles travelled.If the cost will go up it depends on how many miles.

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Find the greatest rational number r such that the ratios 8/15 ÷ r and 18/35 ÷ r are whole numbers?

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