Find the quotient. 4/7 divides 6/15 = ?

10/7

Step-by-step explanation: When dividing by a fraction, we can change the division sign to multiplication and flip the second fraction.

So 4/7 ÷ 6/15 means the same thing as 4/7 · 15/6.

So when dividing by a fraction, we can just multiply by the reciprocal of that fraction or that fraction flipped.

Next we cross cancel.

4 and 6 reduce to 2 and 3.

So we have 2/7 · 15/3.

Multiplying across the numerators and denominators we have 30/21.

Now we can reduce by dividing top and bottom by 3 and we have 10/7.

So 4/7 ÷ 6/15 is 10/7.

Question:

Which is the value of the expression

A. 1

B. 2

C. 8

D. 10

B. 2

Step-by-step explanation:

Given

Required

Evaluate

Split Fraction

From Laws of Indices

Applying this law to the above expression, we have

Also, from Laws of Indices

Applying this law to the above expression, we have

Multiply 10 by 1

Hence,