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Write three rational numbers equivalent to 3 \7?
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Write three rational numbers equivalent to 3 \7?
Rational Numbers
Rational numbers are numbers that can be expressed as a fraction, where the numerator and denominator are both integers and the denominator is not zero. In other words, rational numbers can be written in the form of p/q, where p and q are integers and q is not equal to zero.
Equivalent Rational Numbers
Equivalent rational numbers are numbers that represent the same value but are written in different forms. To find three rational numbers equivalent to 3/7, we can multiply or divide both the numerator and denominator by the same non-zero integer.
Method 1: Multiplying Numerator and Denominator by the Same Non-Zero Integer
One way to find equivalent rational numbers is to multiply both the numerator and denominator of 3/7 by the same non-zero integer. Let's multiply 3/7 by 2:
3/7 * 2/2 = 6/14
Therefore, 6/14 is an equivalent rational number to 3/7.
Method 2: Dividing Numerator and Denominator by Their Greatest Common Divisor
Another way to find equivalent rational numbers is to divide both the numerator and denominator of 3/7 by their greatest common divisor (GCD).
Step 1: Find the GCD of 3 and 7.
- The factors of 3 are 1 and 3.
- The factors of 7 are 1 and 7.
- The GCD of 3 and 7 is 1.
Step 2: Divide both the numerator and denominator by their GCD.
- 3 ÷ 1 / 7 ÷ 1 = 3/7
Therefore, 3/7 divided by its GCD is still 3/7.
Equivalent Rational Numbers to 3/7
Using the methods mentioned above, we have found two equivalent rational numbers to 3/7. Let's summarize them:
1. 6/14
2. 3/7
Method 3: Reducing the Fraction
Another way to find equivalent rational numbers is to reduce the fraction to its simplest form. However, in this case, since 3/7 is already in its simplest form, we cannot further reduce it. Therefore, we cannot find another equivalent rational number by reducing the fraction 3/7.
Summary
In summary, three rational numbers equivalent to 3/7 are:
1. 6/14
2. 3/7
3. There are no other rational numbers that are equivalent to 3/7 since it is already in its simplest form.
Rational numbers are numbers that can be expressed as a fraction, where the numerator and denominator are both integers and the denominator is not zero. In other words, rational numbers can be written in the form of p/q, where p and q are integers and q is not equal to zero.
Equivalent Rational Numbers
Equivalent rational numbers are numbers that represent the same value but are written in different forms. To find three rational numbers equivalent to 3/7, we can multiply or divide both the numerator and denominator by the same non-zero integer.
Method 1: Multiplying Numerator and Denominator by the Same Non-Zero Integer
One way to find equivalent rational numbers is to multiply both the numerator and denominator of 3/7 by the same non-zero integer. Let's multiply 3/7 by 2:
3/7 * 2/2 = 6/14
Therefore, 6/14 is an equivalent rational number to 3/7.
Method 2: Dividing Numerator and Denominator by Their Greatest Common Divisor
Another way to find equivalent rational numbers is to divide both the numerator and denominator of 3/7 by their greatest common divisor (GCD).
Step 1: Find the GCD of 3 and 7.
- The factors of 3 are 1 and 3.
- The factors of 7 are 1 and 7.
- The GCD of 3 and 7 is 1.
Step 2: Divide both the numerator and denominator by their GCD.
- 3 ÷ 1 / 7 ÷ 1 = 3/7
Therefore, 3/7 divided by its GCD is still 3/7.
Equivalent Rational Numbers to 3/7
Using the methods mentioned above, we have found two equivalent rational numbers to 3/7. Let's summarize them:
1. 6/14
2. 3/7
Method 3: Reducing the Fraction
Another way to find equivalent rational numbers is to reduce the fraction to its simplest form. However, in this case, since 3/7 is already in its simplest form, we cannot further reduce it. Therefore, we cannot find another equivalent rational number by reducing the fraction 3/7.
Summary
In summary, three rational numbers equivalent to 3/7 are:
1. 6/14
2. 3/7
3. There are no other rational numbers that are equivalent to 3/7 since it is already in its simplest form.
Community Answer
Write three rational numbers equivalent to 3 \7?
6/14,12/28 and 24/56
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Write three rational numbers equivalent to 3 \7?
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Write three rational numbers equivalent to 3 \7? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Write three rational numbers equivalent to 3 \7? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Write three rational numbers equivalent to 3 \7?.
Write three rational numbers equivalent to 3 \7? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Write three rational numbers equivalent to 3 \7? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Write three rational numbers equivalent to 3 \7?.
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