Step-by-step explanation:
4x/60-5x/60-x/9=4
-x/60-x/9=4
-69x/540=4
[tex] \frac{x}{15} - \frac{x}{12} - \frac{x}{9} = 4[/tex]
We know that
LCM of denominators = The common denominator
→ LCM of 15, 12, 9 = 180
[tex] = \frac{12x}{180} - \frac{15( - 1)x}{180} - \frac{20( - 1)x}{180} = 4[/tex]
[tex] = \frac{12x - 15( - 1)x - 20( - 1)x}{180} = 4[/tex]
[tex] = \frac{12x + 15x + 20x}{180} = 4[/tex]
[tex] \frac{37x}{180} = 4[/tex]
My cross multiplying:
[tex]37x = 180 \times 4[/tex]
[tex]x = \frac{180 \times 4}{37} [/tex]
[tex]x = \frac{720}{37} [/tex]
[tex]x = 19.4[/tex]
Hope it helps :)
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Answers & Comments
Step-by-step explanation:
4x/60-5x/60-x/9=4
-x/60-x/9=4
-69x/540=4
Verified answer
[tex] \frac{x}{15} - \frac{x}{12} - \frac{x}{9} = 4[/tex]
We know that
LCM of denominators = The common denominator
→ LCM of 15, 12, 9 = 180
[tex] = \frac{12x}{180} - \frac{15( - 1)x}{180} - \frac{20( - 1)x}{180} = 4[/tex]
[tex] = \frac{12x - 15( - 1)x - 20( - 1)x}{180} = 4[/tex]
[tex] = \frac{12x + 15x + 20x}{180} = 4[/tex]
[tex] \frac{37x}{180} = 4[/tex]
My cross multiplying:
[tex]37x = 180 \times 4[/tex]
[tex]x = \frac{180 \times 4}{37} [/tex]
[tex]x = \frac{720}{37} [/tex]
[tex]x = 19.4[/tex]
Hope it helps :)