Solving the equation 7/10 ÷ 2/5 ÷ 3/2

To solve the equation 7/10 ÷ 2/5 ÷ 3/2, we can follow a few steps. Let's break it down:

Step 1: Convert the division into multiplication
When we have multiple divisions in an equation, it is easier to convert them into multiplications. To do this, we need to take the reciprocal of the divisor and multiply it with the dividend. So, the equation becomes:

7/10 × 5/2 × 2/3

Step 2: Cancel out common factors
To simplify the equation, we can cancel out common factors between the numerator and denominator. In this case, we can cancel out the common factor of 2 between the first and second fraction, and the common factor of 5 between the second and third fraction. The equation becomes:

7/10 × 1/1 × 1/3

Step 3: Multiply the fractions
To multiply fractions, we multiply the numerators together and the denominators together. The equation becomes:

(7 × 1 × 1) / (10 × 1 × 3)

Step 4: Simplify the fraction
Now, we can simplify the fraction by multiplying the numbers in the numerator and denominator:

7 / 30

Therefore, the solution to the equation 7/10 ÷ 2/5 ÷ 3/2 is 7/30.