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(9)/(16)x(4)/(12) (9)/(16x(-3)/(9) '

3 min read Jun 16, 2024
(9)/(16)x(4)/(12) (9)/(16x(-3)/(9) '

Multiplying Fractions: A Step-by-Step Guide

Let's break down these fraction multiplication problems step by step:

(9)/(16) x (4)/(12)

1. Simplifying Fractions:

Before multiplying, check if we can simplify any fractions. In this case, both (4/12) and (9/16) can be simplified:

  • (4/12) simplifies to (1/3) by dividing both numerator and denominator by 4.
  • (9/16) remains as it is.

2. Multiplication:

Now we have: (9/16) x (1/3)

To multiply fractions, we simply multiply the numerators and the denominators:

  • Numerator: 9 x 1 = 9
  • Denominator: 16 x 3 = 48

3. Final Result:

The product of (9/16) and (4/12) is (9/48). This fraction can be further simplified by dividing both numerator and denominator by 3, giving us (3/16).

(9)/(16 x (-3)/(9))

1. Order of Operations:

We need to follow the order of operations (PEMDAS/BODMAS). This means we perform the multiplication inside the parentheses first.

2. Multiplying Fractions Inside Parentheses:

  • Numerator: 16 x -3 = -48
  • Denominator: 9 x 1 = 9

3. Result of Parentheses:

The result inside the parentheses is (-48/9).

4. Division of Fractions:

Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of (-48/9) is (9/-48).

Now we have: (9/16) x (9/-48).

5. Simplifying:

Both fractions can be simplified:

  • (9/16) remains as it is.
  • (9/-48) simplifies to (3/-16) by dividing both numerator and denominator by 3.

6. Multiplication:

Now we have: (9/16) x (3/-16)

Multiplying the numerators and denominators:

  • Numerator: 9 x 3 = 27
  • Denominator: 16 x -16 = -256

7. Final Result:

The result of (9)/(16 x (-3)/(9)) is (27/-256) or (-27/256).

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