Question

# =

Hint:

### In fraction multiplication, first we multiply the numerators of the given numbers. This product becomes the numerator of the product. Then we multiply the denominators of the given numbers, which becomes the denominator of the product. Thus, we get a product.

## The correct answer is:

### Step by step solution:

The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.

In the given question,

Thus, option (b) is the correct option.

### Related Questions to study

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### Multiply the following fractions.

### Multiply the following fractions.

### Complete the multiplication sentence.

3 × ? = .

### Complete the multiplication sentence.

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### Two-thirds of the students in your class are boys. One-eighth of the boys play soccer. The fraction of the number of boys in your class who play soccer is~~.~~

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### Two-thirds of the students in your class are boys. One-eighth of the boys play soccer. The fraction of the number of boys in your class who play soccer is~~.~~

The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.

### Name the operation you would use.

The bleachers at a football game are full, and of the fans in the bleachers are rooting for the home team. Select the fraction of the bleachers filled with home-team fans.

The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.

### Name the operation you would use.

The bleachers at a football game are full, and of the fans in the bleachers are rooting for the home team. Select the fraction of the bleachers filled with home-team fans.

### =

### =

### A team of runners is needed to run a -mile relay race. If each runner must run mile. Find the number of runners they need to run the race.

### A team of runners is needed to run a -mile relay race. If each runner must run mile. Find the number of runners they need to run the race.

### Multiply .

### Multiply .

### Simplify =

### Simplify =

### Simplify

### Simplify

### Simplify

### Simplify

### Simplify

The factions can also be simplified first before multiplying by factoring out common factors in the numerator and the denominator.

### Simplify

The factions can also be simplified first before multiplying by factoring out common factors in the numerator and the denominator.

### =

Another approach to the question could be that first we can cut both the 3s, i.e., the 3 in the numerator of the first fraction and the 3 in the denominator of the second fraction. Also, we can reduce the 8 in the denominator of the first fraction and the 2 in the numerator in the second fraction. The 8 gets reduced to 4.

Hence,

Thus, option (a) is the correct option.

### =

Another approach to the question could be that first we can cut both the 3s, i.e., the 3 in the numerator of the first fraction and the 3 in the denominator of the second fraction. Also, we can reduce the 8 in the denominator of the first fraction and the 2 in the numerator in the second fraction. The 8 gets reduced to 4.

Hence,

Thus, option (a) is the correct option.