find the reciprocal
(-1/7) (14/3) (9)= how do i solve this problem
Multiply it out then flip your answer. The numerator will become the denominator and likewise.
Just multiply.
(-1/7)(14/3) = -14/21 = -2/3
(-2/3)(9) = -18/3 = -6
To find the reciprocal of a number, you simply flip the numerator and denominator of the fraction. Let's solve the given problem step-by-step:
Step 1: Multiply the fractions and the whole number together.
(-1/7) x (14/3) x (9)
Step 2: Simplify the fraction:
-1 x 14 x 9 / 7 x 3
Step 3: Calculate the numerator and denominator separately:
-126 / 21
Step 4: Simplify the fraction further if possible. In this case, the numerator and denominator are both divisible by 3:
-6 / 1
Step 5: Write the final answer:
-6
So, the reciprocal of (-1/7) x (14/3) x (9) is -6.
To find the reciprocal of a number, you simply take the number and invert it by flipping the numerator and denominator.
Let's solve the problem step by step:
1. Begin by multiplying the three given numbers together:
(-1/7) * (14/3) * (9)
2. To multiply fractions, multiply the numerators together and the denominators together:
(-1 * 14 * 9) / (7 * 3)
3. Simplify the numerator and denominator if possible:
(-126) / (21)
4. To find the reciprocal, flip the numerator and denominator:
(21) / (-126)
And there you have it! The reciprocal of (-1/7) * (14/3) * (9) is (21) / (-126).