fractions

[aspif]

find value of 50 - (1 3 x 14 divide by 1 7 )+ 3
5 15 7

note 1 3/5 & 1 7/15 are mixed fractions

working internal bracket we get 50 - 168 + 3
11 7

3850 +1176 +33 = 2641=34 23/77
77 77

where did i go wrong?? pl help.

 

[stapel]

find value of 50 - (1 3 x 14 divide by 1 7 )+ 3
5 15 7

note 1 3/5 & 1 7/15 are mixed fractions

I think you mean the following:

. . . . .\(\displaystyle 50\, -\, \left(\, \dfrac{\left(\, 1\,\dfrac{3}{5}\,\right)\cdot(14)}{\left(\, 1\, \dfrac{7}{15}\, \right)}\,\right)\, +\, \dfrac{3}{7}\)

Is this correct?

(By the way, a standard way to typeset this as simple text is like this:

. . . . .50 - [ {1_(3/5)}*{14} / {1_(7/15)} ] + (3/7)

You can learn more here.)

working internal bracket we get 50 - 168 + 3
11 7

3850 +1176 +33 = 2641=34 23/77
77 77

I think the above means something along the lines of the following:

. . . . .\(\displaystyle \mbox{Starting with simplifying inside the parenthetical:}\)

. . . . .\(\displaystyle \dfrac{\left(\, 1\,\dfrac{3}{5}\,\right)\cdot(14)}{\left(\, 1\, \dfrac{7}{15}\, \right)}\)

. . . . .\(\displaystyle \mbox{Converting mixed numbers to improper fractions:}\)

. . . . .\(\displaystyle =\, \dfrac{ \left(\, \dfrac{8}{5}\, \right) \cdot \left(\, \dfrac{14}{1}\, \right) }{ \left(\, \dfrac{22}{15}\, \right) }\)

. . . . .\(\displaystyle \mbox{Flipping:}\)

. . . . .\(\displaystyle =\, \left(\,\dfrac{8}{5}\,\right) \cdot \left(\,\dfrac{14}{1}\,\right) \cdot \left(\,\dfrac{15}{22}\,\right)\)

. . . . .\(\displaystyle \mbox{Cancelling:}\)

. . . . .\(\displaystyle =\, \left(\,\dfrac{4}{1}\,\right) \cdot \left(\,\dfrac{14}{1}\,\right) \cdot \left(\,\dfrac{3}{11}\,\right)\)

. . . . .\(\displaystyle \mbox{Multiplying:}\)

. . . . .\(\displaystyle =\, \dfrac{4\, \cdot\, 14\, \cdot\, 3}{1\, \cdot\, 1\, cdot\, 11}\, =\, \dfrac{168}{11}\)

. . . . .\(\displaystyle \mbox{Returning to the original expression, and }\)

. . . . .\(\displaystyle \mbox{converting the other terms to a common de}\)\(\displaystyle \mbox{nominator:}\)

. . . . .\(\displaystyle 50\, -\, \left(\, \dfrac{\left(\, 1\,\dfrac{3}{5}\,\right)\cdot(14)}{\left(\, 1\, \dfrac{7}{15}\, \right)}\,\right)\, +\, \dfrac{3}{7}\)

. . . . .\(\displaystyle =\, \dfrac{3850}{77}\, -\, \dfrac{1176}{77}\, +\, \dfrac{33}{77}\)

. . . . .\(\displaystyle =\, \dfrac{2707}{77}\, =\, \dfrac{2695\, +\, 12}{77}\, =\, \dfrac{2695}{77}\, +\, \dfrac{12}{77}\)

...and so forth.

where did i go wrong?? pl help.

How did you get a second "plus" sign in the expression?