Question

$\frac17\times60\times70=90\times?\times20$

• A. 5/7
• B. 1/3
• C. 3/4
• D. 1/4

Answer 1

Answer:

B. 1/3

The value of the missing number (?) is $\frac{1}{3}$ (or 0.33).

Let the missing number be $x$.
The equation is:
$\frac{1}{7} \times 60 \times 70 = 90 \times x \times 20$

1. Simplify the Left-Hand Side (LHS):

   • Divide 70 by 7 first:
     $\frac{70}{7} = 10$

   • Multiply the remaining numbers:
     $1 \times 60 \times 10 = \mathbf{600}$

2. Simplify the Right-Hand Side (RHS):

   • Multiply 90 and 20:
     $90 \times 20 = \mathbf{1800}$

   • The equation now looks like this:
     $600 = 1800 \times x$

3. Solve for $x$:
   $x = \frac{600}{1800}$

4. $x = \mathbf{\frac{1}{3}}$