jmaugherman10
contestada

Choose Yes or No to tell if the fraction
5
8
will make each equation true.

8
15
−
□

=

3
7

Choose...

□

−

5
16

=
5
8

Choose...

7
8
−
1
2
=

□

Choose...

3
4
−
1
8
=

□

Choose...

Respuesta :

No,  5/8 cannot make the equation [tex]\frac{8}{15}-x=\frac{3}{7}[/tex] to be true

The given fractional equation is:

[tex]\frac{8}{15}-x=\frac{3}{7}[/tex]

To calculate the fraction that will make the equation [tex]\frac{8}{15}-x=\frac{3}{7}[/tex], solve for x in the given equation:

[tex]\frac{8}{15}-x=\frac{3}{7}[/tex]

Collect like terms

[tex]x=\frac{8}{15}-\frac{3}{7}[/tex]

Simplify the resulting fraction as follows:

[tex]x=\frac{56-45}{105} \\\\x=\frac{11}{105}[/tex]

Therefore, the missing fraction that will make the equation [tex]\frac{8}{15}-x=\frac{3}{7}[/tex] true is 11/05

We can conclude that 5/8 cannot make the equation [tex]\frac{8}{15}-x=\frac{3}{7}[/tex] to be true

Learn more here on fractional equations here: https://brainly.com/question/3382177

abidemiokin

Since [tex]\frac{5}{8} \neq\frac{11}{105}[/tex], hence [tex]\frac{5}{8}[/tex] will not make the equation true.

Equations and expression

Given the equation

  • [tex]\frac{8}{15}-a=\frac{3}{7}[/tex]

a is the fraction that will make the equation to be equal

Subtract [tex]\frac{8}{15}[/tex] from both sides;

[tex]\frac{8}{15}-a-\frac{8}{15} =\frac{3}{7}-\frac{8}{15}\\-a= \frac{3}{7}-\frac{8}{15}\\-a=\frac{3(15)-7(8)}{105} \\-a=\frac{45-56}{105}\\-a=\frac{-11}{105}[/tex]

Multiply both sides by a negative sign to have:

[tex]-(-a)=-(-\frac{11}{105} )\\a=\frac{11}{105}[/tex]

Since [tex]\frac{5}{8} \neq\frac{11}{105}[/tex], hence [tex]\frac{5}{8}[/tex] will not make the equation true.

Learn more on equation here: https://brainly.com/question/2972832

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