Mathematics, 22.08.2019 02:00 fatherbamboo

2/7m-1/7=3/14 this is so confusing

Answers: 1

Show answers

Answers

Answer from: hflores0001

Solution for $\frac{2}{7}m - \frac{1}{7} = \frac{3}{14} \ is \ m = \frac{5}{4} \ or \ m = 1\frac{1}{4} \ or \ m = 1.25$

Further explanation

A case about one variable linear quations. We have to solve the equation to get the variable m. Let's isolate the variable m alone at the end of the process on one side of the equation, until the variable will be equal to a value on the opposite side.

We add $\frac{1}{7}$ to both sides:

$\frac{2}{7}m - \frac{1}{7} + \frac{1}{7} = \frac{3}{14} + \frac{1}{7}$

$\frac{2}{7}m = \frac{3}{14} + \frac{1}{7}$

On the right side for the addition operation, we equate the common denominator by multiplying $\ \frac{1}{7} \ by \ \frac{2}{2}$

$\frac{2}{7}m = \frac{3}{14} + \frac{2}{14}$

Then we combine terms to get:

$\frac{2}{7}m = \frac{5}{14}$

We divide by the coefficient of m, or in other words, multiply both sides by $\frac{7}{2}$ :

$\frac{2}{7}m \times \frac{7}{2} = \frac{5}{14} \times \frac{7}{2}$

Finally, the solution is obtained as follows

$m = \frac{35}{28}$

We simplify fractions, both the numerator and denominator are divided equally by 7.

$\boxed{ \ m = \frac{5}{4} \ }$

In the form of mixed fractions, we get:

$\boxed{ \ m = 1 \frac{1}{4} \ }$

In decimal form, we get

$m = 1 \frac{25}{100} \rightarrow \boxed{ \ m = 1.25 \ }$

Check the solution into the equation:

$\big( \frac{2}{7} \times \frac{5}{4} \big) - \frac{1}{7} = \frac{3}{14}$

$\frac{10}{28} - \frac{1}{7} = \frac{3}{14}$

$\frac{5}{14} - \frac{2}{14} = \frac{3}{14}$

$\frac{3}{14} = \frac{3}{14}$

Both sides show the same value, so the solution is correct.

Quick steps in summary:

$\frac{2}{7}m - \frac{1}{7} = \frac{3}{14}$

$\frac{2}{7}m = \frac{3}{14} + \frac{1}{7}$

$\frac{2}{7}m = \frac{3}{14} + \frac{2}{14}$

$\frac{2}{7}m = \frac{5}{14}$

$m = \frac{5}{14} \times \frac{7}{2}$

$m = \frac{35}{28}$

$\rightarrow \boxed{ \ m = \frac{5}{4} \ }$

$\rightarrow \boxed{ \ m = 1 \frac{1}{4} \ }$

$\rightarrow \boxed{ \ m = 1.25 \ }$

Note:

The important thing to do is how to manipulate both sides of the equation with the algebraic properties of equality such as:

adding, subtracting, multiplying, and/or dividing both sides of the equation with the same number.

All these processes can occur repeatedly until the isolated variables are obtained on one side of the equation. In the form of fractions, the steps that must be considered are

equate the denominator, simplify fractions, andturn fractions into mixed fractions or decimal forms.

Let's practice a lot until you get used to and know which operations should be done first.

Learn moreA word problem that forms a single variable linear equation link Learn more about single variable linear equation that has no solution, has one solution, and has infinitely many solutions link Questioning the stages of solving a word problem about one variable linear equations linkAnswer details

Grade : Middle School

Subject : Mathematics

Chapter : Linear Equation in One Variable

Keywords : solve, solution, variable, coefficient, 2/7m - 1/7 = 3/14, 5/4, 1 1/4, 1.125, algebraic properties of equality, one, linear equation, isolated, manipulate, operations, add, substract, multiply, divide, fraction, equate, denominator, numerator, both sides, decimal,

Answer from: Quest

2.) is the most sense

Answer from: Quest

the answer is c. 23/3

Another question on Mathematics

Mathematics, 21.06.2019 12:30

Aconvex octagon has interior angles that measures 73 degrees, 172 degrees, 132 degrees, 59 degrees, 154 degrees, 163 degrees, x degrees, 2x degrees find the value of the missing angles

Answers: 3

Answer

Mathematics, 21.06.2019 20:00

Anyone? 15m is what percent of 60m; 3m; 30m; 1.5 km?

Answers: 1

Answer

Mathematics, 21.06.2019 21:00

Ade and abc are similar. which best explains why the slope of the line between points a and d is the same as the slope between points a and b?

Answers: 2

Answer

Mathematics, 21.06.2019 22:00

White shapes and black shapes are used in a game. some of the shapes are circles. while the rest are squares. the ratio of the number of white shapes to the number of black shapes is 5: 11. the ratio of the number of white cicrles to the number of white squares is 3: 7. the ratio of the number of black circles to the number of black squres is 3: 8. work out what fraction of all the shapes are circles.

Answers: 2

Answer

You know the right answer?

2/7m-1/7=3/14 this is so confusing...

Questions