Why multiplying a fraction by a fraction gives a result that is smaller than either of the original factors?

Why multiplying a fraction by a fraction gives a result that is smaller than either of the original factors?

When you multiply by a fraction, you are finding that fraction, or portion, of the original whole. Assuming that you’re dealing with “proper” fractions (which are smaller than 1), then you must end up with a smaller value, because you’re taking only part of the original value.

Why is the product smaller when multiplying fractions?

The reason is that you are taking a FRACTION of the number, not a whole of it, or more than a whole of it. So, if you take 1/2 or 1/3 or 1/10 of a number, you are taking a FRACTION (not a whole) of that number, so the result will be smaller (less).

When multiplying a fraction by a fraction the product is?

To multiply two fractions, just multiply the numerators to get the numerator of the product, and multiply the denominators to get the denominator of the product. You can visualize this by starting with a drawing of 23 , then finding 57 of that quantity.

When you multiply two fractions that are less than one the product will be smaller?

Answer Expert Verified When multiplying fractions, you multiply across, so multiplying two fractions that are both less than one will always give a numerator much smaller than the denominator, and a larger denominator makes for a smaller number.

When two fractions are multiplied the product is always greater than 1?

When two fractions are multiplied, if one of the fractions is greater than 1, it will increase the size of the second fraction as the product. If it is less than 1, it will decrease the size of the second fraction as the product.

What do you get when you divide a positive by a positive?

Rule 1: A positive number divided by a positive number equals a positive number. This is the division you have been doing all along. For example: 16 / 4 = 4.

What does multiply by a fraction mean?

What Does It Mean to Multiply by a Fraction? When you multiply a number by a fraction, you are finding part of that number. For example, if you multiply 6 by 1/2, you are finding 1/2 of 6. Anytime you’re multiplying a number by a fraction, you’re finding part of that number.

What is the lowest form of 12 30?

Reduce 12/30 to lowest terms

• Find the GCD (or HCF) of numerator and denominator. GCD of 12 and 30 is 6.
• 12 ÷ 630 ÷ 6.
• Reduced fraction: 25. Therefore, 12/30 simplified to lowest terms is 2/5.

What are the rules for dividing positive and negative numbers?

When you divide a negative number by a positive number, your answer is a negative number. As with multiplication, it doesn’t matter which order the positive and negative numbers are in, the answer is always a negative number. For example: -8 /2 = -4.

What is a 3rd of 15?

Answer: 1/3 of 15 is 5.

What is the rule for multiplying two fractions?

Algebraically the rule to multiply two fractions is: Step 1: Multiply the numerators of the factor fractions. Step 2: Multiply the denominators. Step 3: Simplify the product if required.

Why do fractions get smaller when you multiply them?

If multiplication is really a form of addition and numbers get larger and larger when you add them, why do fractions get smaller and smaller when you multiply them? For instance, 3/4 + 2/3 = 1 5/12, but 3/4*2/3 = 1/2. lol… Yeah. Guess that makes perfect sense! The smaller and smaller parts are multiplying aren’t they? Thanks.

Which is the second step in multiplying fractions?

The second step is to multiply the two denominators. Finally, simplify the new fractions. The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.

What are the properties of multiplying fractions in order?

The following are the properties of multiplication of fractions: If the two given fractional numbers are multiplied in either order, the product of the fraction remains the same. For example, (⅔) × (4/6) = 8/18 = 4/9 Similarly, (4/6)×(⅔) = 8/18 = 4/9