What is the result of 6/21 - 5/7?

What is the result of 6/21 - 5/7?

• A. -1/3
• B. -9/21
• C. 1/3
• D. 0

Answer: (B)

To solve the expression \( 6/21 - 5/7 \), it is essential first to have a common denominator to facilitate the subtraction of the two fractions. The fraction \( 6/21 \) can be simplified. \( 6/21 \) simplifies to \( 2/7 \) since both the numerator and the denominator can be divided by 3. Now, we rewrite the expression: \[ 2/7 - 5/7 \] Since both fractions now share the same denominator (7), we can directly subtract the numerators: \[ (2 - 5)/7 = -3/7 \] To answer the original question, we simplify -3/7. To convert -3/7 to a form that may match the choices, we observe that this fraction does not equal -1/3, -9/21, or 0. However, -3/7 can also be expressed as -9/21 because: \[ -3/7 = -9/21 \quad (by \; multiplying \; both \; numerator \; and \; denominator \; by \; 3) \] Thus, the correct result of \( 6/

To solve the expression ( 6/21 - 5/7 ), it is essential first to have a common denominator to facilitate the subtraction of the two fractions.

The fraction ( 6/21 ) can be simplified. ( 6/21 ) simplifies to ( 2/7 ) since both the numerator and the denominator can be divided by 3.

Now, we rewrite the expression:

[

2/7 - 5/7

]

Since both fractions now share the same denominator (7), we can directly subtract the numerators:

[

(2 - 5)/7 = -3/7

]

To answer the original question, we simplify -3/7. To convert -3/7 to a form that may match the choices, we observe that this fraction does not equal -1/3, -9/21, or 0. However, -3/7 can also be expressed as -9/21 because:

[

-3/7 = -9/21 \quad (by ; multiplying ; both ; numerator ; and ; denominator ; by ; 3)

]

Thus, the correct result of ( 6/