Math / Numbers & Operations

QuestionReduce/Simplify the fractions by using its Greatest Common Factor. * 10 points
48 60
Your answer

Studdy Solution

STEP 1

1. We need to simplify the fraction $\frac{48}{60}$ .
2. Simplification involves dividing both the numerator and the denominator by their Greatest Common Factor (GCF).

STEP 2

1. Find the Greatest Common Factor (GCF) of the numerator and the denominator.
2. Divide both the numerator and the denominator by the GCF.
3. Write the simplified fraction.

STEP 3

Identify the factors of the numerator $48$ and the denominator $60$ .
- Factors of $48$ : $1, 2, 3, 4, 6, 8, 12, 16, 24, 48$ - Factors of $60$ : $1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60$

STEP 4

Determine the greatest common factor from the lists of factors.
- Common factors: $1, 2, 3, 4, 6, 12$ - Greatest Common Factor (GCF): $12$

STEP 5

Divide both the numerator and the denominator by the GCF $12$ .
$\frac{48}{60} = \frac{48 \div 12}{60 \div 12} = \frac{4}{5}$

STEP 6

Write the simplified fraction.
The simplified fraction is:
$\boxed{\frac{4}{5}}$

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QuestionReduce/Simplify the fractions by using its Greatest Common Factor. * 10 points
48 60
Your answer

Studdy Solution

STEP 1

1. We need to simplify the fraction $\frac{48}{60}$ .
2. Simplification involves dividing both the numerator and the denominator by their Greatest Common Factor (GCF).

STEP 2

1. Find the Greatest Common Factor (GCF) of the numerator and the denominator.
2. Divide both the numerator and the denominator by the GCF.
3. Write the simplified fraction.

STEP 3

Identify the factors of the numerator $48$ and the denominator $60$ .
- Factors of $48$ : $1, 2, 3, 4, 6, 8, 12, 16, 24, 48$ - Factors of $60$ : $1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60$

STEP 4

Determine the greatest common factor from the lists of factors.
- Common factors: $1, 2, 3, 4, 6, 12$ - Greatest Common Factor (GCF): $12$

STEP 5

Divide both the numerator and the denominator by the GCF $12$ .
$\frac{48}{60} = \frac{48 \div 12}{60 \div 12} = \frac{4}{5}$

STEP 6

Write the simplified fraction.
The simplified fraction is:
$\boxed{\frac{4}{5}}$

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QuestionReduce/Simplify the fractions by using its Greatest Common Factor. * 10 points48 60Your answer

Studdy Solution

STEP 1

1. We need to simplify the fraction 4860\frac{48}{60}6048​.2. Simplification involves dividing both the numerator and the denominator by their Greatest Common Factor (GCF).

STEP 2

1. Find the Greatest Common Factor (GCF) of the numerator and the denominator.2. Divide both the numerator and the denominator by the GCF.3. Write the simplified fraction.

STEP 3

Identify the factors of the numerator 484848 and the denominator 606060.- Factors of 484848: 1,2,3,4,6,8,12,16,24,481, 2, 3, 4, 6, 8, 12, 16, 24, 481,2,3,4,6,8,12,16,24,48 - Factors of 606060: 1,2,3,4,5,6,10,12,15,20,30,601, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 601,2,3,4,5,6,10,12,15,20,30,60

STEP 4

Determine the greatest common factor from the lists of factors.- Common factors: 1,2,3,4,6,121, 2, 3, 4, 6, 121,2,3,4,6,12 - Greatest Common Factor (GCF): 121212

STEP 5

Divide both the numerator and the denominator by the GCF 121212.4860=48÷1260÷12=45\frac{48}{60} = \frac{48 \div 12}{60 \div 12} = \frac{4}{5}6048​=60÷1248÷12​=54​

STEP 6

Write the simplified fraction.The simplified fraction is:45\boxed{\frac{4}{5}}54​​

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Studdy solves anything!

Start learning now

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QuestionReduce/Simplify the fractions by using its Greatest Common Factor. * 10 points
48 60
Your answer

1. We need to simplify the fraction $\frac{48}{60}$ .
2. Simplification involves dividing both the numerator and the denominator by their Greatest Common Factor (GCF).

1. Find the Greatest Common Factor (GCF) of the numerator and the denominator.
2. Divide both the numerator and the denominator by the GCF.
3. Write the simplified fraction.

Identify the factors of the numerator $48$ and the denominator $60$ .
- Factors of $48$ : $1, 2, 3, 4, 6, 8, 12, 16, 24, 48$ - Factors of $60$ : $1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60$

Determine the greatest common factor from the lists of factors.
- Common factors: $1, 2, 3, 4, 6, 12$ - Greatest Common Factor (GCF): $12$

Divide both the numerator and the denominator by the GCF $12$ .
$\frac{48}{60} = \frac{48 \div 12}{60 \div 12} = \frac{4}{5}$

Write the simplified fraction.
The simplified fraction is:
$\boxed{\frac{4}{5}}$