Math / Algebra

QuestionSubtract $\frac{3 x+5}{7}-\frac{7}{7}$

Studdy Solution

STEP 1

1. We are asked to subtract two fractions.
2. Both fractions have the same denominator, which simplifies the subtraction process.

STEP 2

1. Confirm that the fractions have a common denominator.
2. Subtract the numerators while keeping the common denominator.
3. Simplify the resulting fraction if possible.

STEP 3

Verify that both fractions have the same denominator. In this case, both fractions have a denominator of 7.
$\frac{3x + 5}{7} \quad \text{and} \quad \frac{7}{7}$

STEP 4

Subtract the numerators of the two fractions while keeping the common denominator:
$\frac{(3x + 5) - 7}{7}$

STEP 5

Simplify the expression in the numerator:
$(3x + 5) - 7 = 3x + 5 - 7 = 3x - 2$

STEP 6

Write the simplified fraction:
$\frac{3x - 2}{7}$
This is the simplified result of the subtraction.

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QuestionSubtract $\frac{3 x+5}{7}-\frac{7}{7}$

Studdy Solution

STEP 1

1. We are asked to subtract two fractions.
2. Both fractions have the same denominator, which simplifies the subtraction process.

STEP 2

1. Confirm that the fractions have a common denominator.
2. Subtract the numerators while keeping the common denominator.
3. Simplify the resulting fraction if possible.

STEP 3

Verify that both fractions have the same denominator. In this case, both fractions have a denominator of 7.
$\frac{3x + 5}{7} \quad \text{and} \quad \frac{7}{7}$

STEP 4

Subtract the numerators of the two fractions while keeping the common denominator:
$\frac{(3x + 5) - 7}{7}$

STEP 5

Simplify the expression in the numerator:
$(3x + 5) - 7 = 3x + 5 - 7 = 3x - 2$

STEP 6

Write the simplified fraction:
$\frac{3x - 2}{7}$
This is the simplified result of the subtraction.

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QuestionSubtract 3x+57−77\frac{3 x+5}{7}-\frac{7}{7}73x+5​−77​

Studdy Solution

STEP 1

1. We are asked to subtract two fractions.2. Both fractions have the same denominator, which simplifies the subtraction process.

STEP 2

1. Confirm that the fractions have a common denominator.2. Subtract the numerators while keeping the common denominator.3. Simplify the resulting fraction if possible.

STEP 3

Verify that both fractions have the same denominator. In this case, both fractions have a denominator of 7.3x+57and77 \frac{3x + 5}{7} \quad \text{and} \quad \frac{7}{7} 73x+5​and77​

STEP 4

Subtract the numerators of the two fractions while keeping the common denominator:(3x+5)−77 \frac{(3x + 5) - 7}{7} 7(3x+5)−7​

STEP 5

Simplify the expression in the numerator:(3x+5)−7=3x+5−7=3x−2 (3x + 5) - 7 = 3x + 5 - 7 = 3x - 2 (3x+5)−7=3x+5−7=3x−2

STEP 6

Write the simplified fraction:3x−27 \frac{3x - 2}{7} 73x−2​This is the simplified result of the subtraction.

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QuestionSubtract $\frac{3 x+5}{7}-\frac{7}{7}$

1. We are asked to subtract two fractions.
2. Both fractions have the same denominator, which simplifies the subtraction process.

1. Confirm that the fractions have a common denominator.
2. Subtract the numerators while keeping the common denominator.
3. Simplify the resulting fraction if possible.

Verify that both fractions have the same denominator. In this case, both fractions have a denominator of 7.
$\frac{3x + 5}{7} \quad \text{and} \quad \frac{7}{7}$

Subtract the numerators of the two fractions while keeping the common denominator:
$\frac{(3x + 5) - 7}{7}$

Simplify the expression in the numerator:
$(3x + 5) - 7 = 3x + 5 - 7 = 3x - 2$

Write the simplified fraction:
$\frac{3x - 2}{7}$
This is the simplified result of the subtraction.