# ACT Aspire Math: Placing the Solution to an Expression on a Number Line

Consider the equation .

Indicate the location of x on the number line shown. Assume that all points on the number line are equidistant.

ACT Aspire | Math |

ACT Aspire Math | The Number System |

Math | The Number System |

Product Type | ACT Aspire |

Test Prep | ACT Aspire ACT Aspire Math |

### Transcript

step here's just solve the expression in the problem the

lowest common denominator here is twelve right so it's going

to be nine twelve minus one twelve and that gets

us eight twelves and eight twelves is what is that

we can take out fours from there we've got two

fours up here and three fours down there so it's

two thirds all right so that's our most reduced number

here now where do we put it on this number

line equal distant thing well all this is great and

everything but we've got to find out what the letter

something the number line actually represent their seven total marks

here counting five letters and the zero and the one

there which gives us six inter spaces yeah that would

be the distance between zero and a right there for

example what were told that the points are equal distance

so each inter space represents one sixth so why don't

we just rewrite everything with our fancy new actual numbers

instead of just hash marks but wait none of these

looks like two thirds luckily fractions are malleable and we

confined an equivalent fraction that had six in the denominator

We've got four six right We just multiplied by two

over to for the two thirds Ever get a six

and a bottom wealth four six is located right here

One two three four It's the same tick Mark is

the 1 labeled d in the original diagram So that's 00:01:38.311 --> [endTime] our answer Yeah Answers ia's in We're done