Question

5/7m- 1/7=9/14 Can someone please tell me what "m" is?

Answer 1

Answer:

m = $\frac{11}{10}$

Step-by-step explanation:

First you need to add $\frac{1}{7}$ to both sides to get m by itself. $\frac{1}{7}$ = $\frac{2}{14}$ (feel free to ask if you don't understand why this is the case). $\frac{2}{14} + \frac{9}{14} = \frac{11}{14}$

So then you get $\frac{5}{7} m = \frac{11}{14}$. Divide both sides by $\frac{5}{7} = \frac{10}{14}$. Remember: To divide fractions, you multiply the first number by the reciprocal of the second number. $\frac{11}{14}$ ÷  $\frac{10}{14} = \frac{11}{14}$ × $\frac{14}{10}$. The two 14s cancel out, and you are left with $\frac{11}{10}$, or $1\frac{1}{10}$.

I hope this helps!

Answer 2

Answer(s):

$m=1.1, m=11/10,m=1\frac{1}{10}$

Step-by-step explanation:

Start with:

$\frac{5}{7} m-\frac{1}{7} =\frac{9}{14}$

Let's add $\frac{1}{7}$ to both sides of the equation.

$\frac{5}{7} m=\frac{9}{14}+\frac{1}{7}$

Add $\frac{9}{14}+\frac{1}{7}$ by multiplying $\frac{1}{7}$ by $\frac{2}{2}$ to get a common denominator.

$\frac{9}{14}+\frac{2}{14}$

Add:

$\frac{11}{14}$

Now back to our main equation:

$\frac{5}{7}m=\frac{11}{14}$

Let's rewrite to make finding the cross product easier.

$m$ × $\frac{5}{7} =\frac{11}{14}$

Find the cross product:

$m$ × $70=77$

Rewrite.

$70m=77$

Divide by the coefficient of $m$, which is $70$.

$m=1.1$