Question

What is 5/9=14c-5/12

Answer 1

Answer:

c=5/72

Step-by-step explanation:

5/9=14c-5/12

Switch sides

14c-5/12=5/9

Add 5/12 tp both sides

14c-5/12+5/12=5/9+5/12

Simplify;

14c-5/12+5/12

=14c

Simplify;

5/9+5/12

LCM of 9, 12;

36

The least common multiplier of a, b is the smallest positive number that is divisible by both a and b.

Prime factorization of 9;

3*3

Prime factorization of 12;

2*6

=2*2*3

=3*3*2*2

=36

5/9=5*4/9*4=20/36

5/12=5*3/12*3=15/36

=20/36+15/36

20+15/36

=35/36

14c=35/36

14c/14=35/36/14

14c/14=c

35/36*14

=35/504

=5/72

Answer c=5/72

Answer 2

Answer to the following question is as follows;

Value of C = 5 / 72

Step-by-step explanation:

Given:

$\frac{5}{9} = 14c - \frac{5}{12}$

Find:

Value of C

Computation:

$\frac{5}{9} = 14c - \frac{5}{12}$

By taking 5/12 to LHS Side

$\frac{5}{9} + \frac{5}{12} = 14c$

By taking LCM;

$\frac{(4)(5) + (3)(5)}{36} = 14c$

$\frac{20 + 15}{36} = 14c$

$\frac{35}{36} = 14c$

By transfer 14 to LHS side

$\frac{35}{36 \times 14 } = c$

$\frac{5}{36 \times 2 } = c$

$\frac{5}{72} = c$

Value of C = 5 / 72

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