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How do you multiply 1.43 by -19 over -37

Sagot :

Well, if your problem looks like this,

-19
1.43 x -----
-37

then you can simply put a 1 under the 1.43 and make it a fraction. It will look like this.

1.43 -19
----- x -----
1 -37

You can put a one on the bottom of any number because it won't change the number. A fraction is jut division, so if you divide 1.43 by 1 you'll still have 1.43 which is why the one doesn't change the number if you add it. Adding the one just makes it easier to multiply fractions.

Now you can multiply across with 1.43 x -19 to give you -27.17 in your numerator (the top number of the fraction). Then you multiply -37 by 1 and that stays as -37 which goes into the denominator (the bottom number of the fraction).

1.43 -19 -27.17
----- x ----- = --------
1 -37 -37

To simplify that completely, you can get rid of the two negative signs because that cancel each other out. Your final answer is

27.17
-------
37

Another way to solve this would've been to divide -19 by -37 and then multiply that decimal by 1.43, but I prefer answers in fraction form because there's no rounding or infinite decimals to deal with.
 [tex]1.43 \cdot \frac{ -19 }{ -37 } = \frac{143}{100} \cdot \frac{19}{37}=\frac{2717}{3700}[/tex]