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love history [14]
3 years ago
12

Solve the unknown viable 7c/12 + 5c/16=15/48 +c

Mathematics
1 answer:
Mashutka [201]3 years ago
5 0
<span>deconstructing
48 : 2 = 24
24 : 2 = 12
12 :2 = 6
6 : 2 = 3
3 : 3 = 1
2 * 2 * 2 * 2 * 3 = 48 
...................................
16 : 2 = 8
8 : 2 = 4
4 : 2 = 2
2 : 2 = 1
2 * 2* 2 * 2 = 16
..................................
12 : 2 = 6</span>\frac{7c}{12}  +  \frac{5c}{16}  =  \frac{15}{48}  + c \\  \\  \frac{7c*4}{12*4}  +  \frac{5c*3}{16*3}  -  \frac{15}{48}  = c \\  \\  \frac{28c + 15c}{48}  -  \frac{15}{48}  = c \\  \\ 48c =  43c - 15 \\  \\ 48c - 43c = -15 \\  \\ 5c =- 15 \\  \\ c =  -3&#10;<span>
6 : 2 = 3
3 : 3 = 1
</span><span>common denominator 48</span>
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