Which expression has the same value as 7 x 3/4?

Which expression has the same value as 7 x 3/4?

**The expression that has the same value as 7 x 3/4 is 21/4.**

When trying to determine an expression that has the same value as 7 x 3/4, it’s important to understand how to multiply fractions and simplify the result. In this case, when you multiply 7 by 3 and then divide by 4, you get 21/4.

1. What is the result of multiplying 7 by 3?

The result of multiplying 7 by 3 is 21.

2. What is the result of dividing 21 by 4?

When you divide 21 by 4, you get 5 with a remainder of 1, which can be expressed as 5 1/4 or as the improper fraction 21/4.

3. Why is 21/4 the same as 5 1/4?

Both 21/4 and 5 1/4 represent the same value but in different forms. 5 1/4 is a mixed number, while 21/4 is an improper fraction.

4. Can the fraction 21/4 be simplified further?

No, 21/4 is already in its simplest form because 21 and 4 do not share any common factors other than 1.

5. Why is it important to understand how to multiply fractions in math?

Understanding how to multiply fractions is essential for solving various mathematical problems, especially those involving measurements, ratios, and proportions.

6. Is 21/4 an integer or a fraction?

21/4 is a fraction because it represents a value less than 1 and greater than 0. An integer, on the other hand, is a whole number without any fractional or decimal parts.

7. How can I convert 21/4 to a decimal?

To convert 21/4 to a decimal, divide 21 by 4. The result is 5.25.

8. Can 21/4 be written as a percentage?

Yes, 21/4 can be written as a percentage by multiplying the fraction by 100. The result is 525%.

9. In what real-world scenarios might the expression 7 x 3/4 be used?

The expression 7 x 3/4 can be used in various real-world scenarios, such as calculating discounts, determining proportions of ingredients in recipes, or figuring out time fractions.

10. How does multiplying fractions differ from adding or subtracting them?

When multiplying fractions, you multiply the numerators and denominators directly. In contrast, when adding or subtracting fractions, you need to find a common denominator first.

11. What is the relationship between fractions and division?

Dividing one fraction by another is equivalent to multiplying the first fraction by the reciprocal of the second fraction. This relationship is helpful in understanding how fractions operate in mathematical operations.

12. Is it possible to evaluate the expression 7 x 3/4 as a mixed number?

Yes, you can express 7 x 3/4 as a mixed number by first finding the improper fraction (21/4) and then converting it to a mixed number (5 1/4).

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