Multiplication Of Two Fractions easy Math quiz

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In this quiz, the child has to solve the questions that require the multiplication of two fractions. The process is easy because it is only to multiply the numerator of first with the numerator of the second fraction and the same is continued in the case of the denominator. The product leads to a fraction and this fraction will not be the final answer if there are any common factors between the numerator and denominator. In that case, the fraction has to be reduced to its simplest form. This technique will become accustomed to the children if they practice more and more questions from this quiz.

Teaching kids multiplication of two fractions

When you want to multiply two fractions together, it’s important to remember that the fractions must have the same denominator, which is the bottom number. The denominator tells you how many parts the whole is divided into, and the numerator tells you how many of those parts you have.

To multiply two fractions with the same denominator, you simply multiply the numerators (top numbers) together and write the result over the same denominator. For example, if you want to multiply 1/4 x 2/4, you would take 1 x 2 = 2 and write the result over the same denominator of 4:

1/4 x 2/4 = 2/4 = 1/2

When the fractions have different denominators, you can use a technique called finding a common denominator. A common denominator is a number that can be divided evenly by the denominators of both fractions.

For example, if you want to multiply 2/3 x 4/5, the denominators are 3 and 5. A common denominator that can be divided evenly by both 3 and 5 is 15. So you will convert 2/3 and 4/5 to have common denominator 15, 2/3 becomes 2/3 x 5/5 = 10/15 4/5 becomes 4/5 x 3/3 = 12/15

Now you can easily multiply these fractions

10/15 x 12/15 = 120/225

It’s important to remember that when you multiply fractions, you multiply the numerators together and the denominators together. And also it is always good practice to reduce the final fraction to lowest terms, so that the numerator and denominator have no common factors other than 1.

Here are some more examples of multiplying fractions:

1/2 x 1/3 = (1 x 1)/(2 x 3) = 1/6 2/5 x 3/7 = (2 x 3)/(5 x 7) = 6/35

And here’s an example of multiplying a fraction and a whole number

2 x 3/4 = (2 x 3)/(2 x 4) = 6/8 = 3/4

It’s important to note that when you multiply a fraction by a whole number, it is equivalent to dividing the whole number into the fraction.

You can also use an algorithm called distributive property to multiply a whole number by a fraction. The distributive property states that you can use the distributive property to multiply any whole number by a fraction, it’s the same as dividing the whole number by the denominator and then multiplying by the numerator.

To help remember these steps, you can use this acronym: FOIL

  • F: First
  • O: Outer
  • I: Inner
  • L: Last

For example, to multiply (4/5) x (3/4) 4/5 x 3/4 = (4 x 3) / (5 x 4) = 12/20

Another way to see this is to see the visual representation of the fractions, and then multiplying the parts that are being overlayed.