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What is the result of [tex]$6 \div 15$[/tex]? Use the model to find the answer.

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A. [tex]\frac{4}{15}[/tex]
B. [tex]\frac{2}{5}[/tex]
C. [tex]\frac{1}{3}[/tex]
D. [tex]\frac{2}{3}[/tex]

Sagot :

GinnyAnsweridn
To solve the division problem [tex]\(6 \div 15\)[/tex], let's follow these steps:

1. Understand the Division: We need to find out how many times 15 can fit into 6, which is essentially the same as finding what part of 15 is represented by 6.

2. Simplify the Fraction: We express the division as a fraction [tex]\( \frac{6}{15} \)[/tex].

3. Simplify the Fraction Reduced Form:
- Find the greatest common divisor (GCD) of 6 and 15. The GCD of 6 and 15 is 3.
- Divide both the numerator and the denominator by the GCD. So,
[tex]\[ \frac{6 \div 3}{15 \div 3} = \frac{2}{5} \][/tex]

4. Convert the Fraction to Decimal: Convert [tex]\( \frac{2}{5} \)[/tex] to a decimal. To do this, perform the division [tex]\( 2 \div 5 \)[/tex]. The result of [tex]\( 2 \div 5 \)[/tex] is [tex]\( 0.4 \)[/tex].

From the above steps, the final result of [tex]\( 6 \div 15 \)[/tex] is [tex]\( 0.4 \)[/tex].

Comparing this with the multiple-choice options given:
- A. 4
- B. 5
- C. 12
- D. 20

These options do not correspond numerically to our decimal answer.

The accurate numerical result for [tex]\( 6 \div 15 \)[/tex] is [tex]\( 0.4 \)[/tex].
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