Question

The equation shown has an unknown number.

What is _____ Divided three sevenths equals seven fifteen

Answer 1

To solve the equation, multiply both sides by the reciprocal of 3/7, which simplifies to x = 1/5. Therefore, the unknown number that, when divided by three sevenths, equals seven fifteenths is one fifth.

Step-by-step explanation:

To solve the equation with the unknown number, we want to find the number that, when divided by three sevenths (3/7), gives us seven fifteenths (7/15). Let's denote the unknown number as 'x'.

We can set up the equation as follows:

• x / (3/7) = 7/15

To solve for x, we multiply both sides of the equation by (3/7), to get:

• x = (7/15) * (3/7)

Now we perform the multiplication:

• x = (7 * 3) / (15 * 7)
• x = 21 / 105

The common factor of 7 in the numerator and the denominator can be divided out, which simplifies to:

• x = 3 / 15

Finally, we can simplify this further by dividing both the numerator and the denominator by 3:

• x = 1 / 5

Therefore, the unknown number is one fifth (1/5).