Question

Write the product in simplest form.

9/14 × 7/6
​
a) 7/12
b) 3/4
c) 5/6
d) 21/28
​

Answer 1

To find the product in simplest form of 9/14 × 7/6, multiply the numerators to get 63, and the denominators to get 84. Then simplify by dividing both by their greatest common factor, which is 21, resulting in 3/4.

Step-by-step explanation:

To write the product in simplest form for the expression 9/14 × 7/6, we proceed by multiplying the numerators together (9 × 7) and the denominators together (14 × 6). This gives us 63/84. Next, we simplify by looking for the greatest common factor (GCF) that divides both 63 and 84. The GCF here is 21, so we divide the numerator and the denominator by 21 to simplify. The result is 3/4.

• Multiply numerators: 9 × 7 = 63
• Multiply denominators: 14 × 6 = 84
• Divide both by the GCF, 21: 63 ÷ 21 = 3, 84 ÷ 21 = 4

Therefore, the product in simplest form is 3/4, which matches answer choice (b).