Math / Numbers & Operations

Question $\frac{7}{3}-\frac{1}{5}$

Studdy Solution

STEP 1

1. The problem involves subtracting two fractions.
2. The fractions need to have a common denominator in order to perform the subtraction.
3. The final answer should be simplified if possible.

STEP 2

1. Find a common denominator for the fractions $\frac{7}{3}$ and $\frac{1}{5}$ .
2. Rewrite each fraction with the common denominator.
3. Subtract the numerators of the fractions.
4. Simplify the resulting fraction if possible.

STEP 3

Find a common denominator for the fractions $\frac{7}{3}$ and $\frac{1}{5}$ .
The least common multiple (LCM) of 3 and 5 is 15.

STEP 4

Rewrite each fraction with the common denominator of 15.
$\frac{7}{3} = \frac{7 \times 5}{3 \times 5} = \frac{35}{15}$ $\frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15}$

STEP 5

Subtract the numerators of the fractions while keeping the common denominator.
$\frac{35}{15} - \frac{3}{15} = \frac{35 - 3}{15} = \frac{32}{15}$

STEP 6

Simplify the resulting fraction if possible.
The fraction $\frac{32}{15}$ is already in its simplest form since 32 and 15 have no common factors other than 1.
Solution: $\frac{7}{3} - \frac{1}{5} = \frac{32}{15}$

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Question $\frac{7}{3}-\frac{1}{5}$

Studdy Solution

STEP 1

1. The problem involves subtracting two fractions.
2. The fractions need to have a common denominator in order to perform the subtraction.
3. The final answer should be simplified if possible.

STEP 2

1. Find a common denominator for the fractions $\frac{7}{3}$ and $\frac{1}{5}$ .
2. Rewrite each fraction with the common denominator.
3. Subtract the numerators of the fractions.
4. Simplify the resulting fraction if possible.

STEP 3

Find a common denominator for the fractions $\frac{7}{3}$ and $\frac{1}{5}$ .
The least common multiple (LCM) of 3 and 5 is 15.

STEP 4

Rewrite each fraction with the common denominator of 15.
$\frac{7}{3} = \frac{7 \times 5}{3 \times 5} = \frac{35}{15}$ $\frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15}$

STEP 5

Subtract the numerators of the fractions while keeping the common denominator.
$\frac{35}{15} - \frac{3}{15} = \frac{35 - 3}{15} = \frac{32}{15}$

STEP 6

Simplify the resulting fraction if possible.
The fraction $\frac{32}{15}$ is already in its simplest form since 32 and 15 have no common factors other than 1.
Solution: $\frac{7}{3} - \frac{1}{5} = \frac{32}{15}$

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Question73−15\frac{7}{3}-\frac{1}{5}37​−51​

Studdy Solution

STEP 1

1. The problem involves subtracting two fractions.2. The fractions need to have a common denominator in order to perform the subtraction.3. The final answer should be simplified if possible.

STEP 2

1. Find a common denominator for the fractions 73\frac{7}{3}37​ and 15\frac{1}{5}51​.2. Rewrite each fraction with the common denominator.3. Subtract the numerators of the fractions.4. Simplify the resulting fraction if possible.

STEP 3

Find a common denominator for the fractions 73\frac{7}{3}37​ and 15\frac{1}{5}51​.The least common multiple (LCM) of 3 and 5 is 15.

STEP 4

Rewrite each fraction with the common denominator of 15.73=7×53×5=3515 \frac{7}{3} = \frac{7 \times 5}{3 \times 5} = \frac{35}{15} 37​=3×57×5​=1535​ 15=1×35×3=315 \frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15} 51​=5×31×3​=153​

STEP 5

Subtract the numerators of the fractions while keeping the common denominator.3515−315=35−315=3215 \frac{35}{15} - \frac{3}{15} = \frac{35 - 3}{15} = \frac{32}{15} 1535​−153​=1535−3​=1532​

STEP 6

Simplify the resulting fraction if possible.The fraction 3215\frac{32}{15}1532​ is already in its simplest form since 32 and 15 have no common factors other than 1.Solution: 73−15=3215 \frac{7}{3} - \frac{1}{5} = \frac{32}{15} 37​−51​=1532​

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Question $\frac{7}{3}-\frac{1}{5}$

1. The problem involves subtracting two fractions.
2. The fractions need to have a common denominator in order to perform the subtraction.
3. The final answer should be simplified if possible.

1. Find a common denominator for the fractions $\frac{7}{3}$ and $\frac{1}{5}$ .
2. Rewrite each fraction with the common denominator.
3. Subtract the numerators of the fractions.
4. Simplify the resulting fraction if possible.

Find a common denominator for the fractions $\frac{7}{3}$ and $\frac{1}{5}$ .
The least common multiple (LCM) of 3 and 5 is 15.

Rewrite each fraction with the common denominator of 15.
$\frac{7}{3} = \frac{7 \times 5}{3 \times 5} = \frac{35}{15}$ $\frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15}$

Subtract the numerators of the fractions while keeping the common denominator.
$\frac{35}{15} - \frac{3}{15} = \frac{35 - 3}{15} = \frac{32}{15}$

Simplify the resulting fraction if possible.
The fraction $\frac{32}{15}$ is already in its simplest form since 32 and 15 have no common factors other than 1.
Solution: $\frac{7}{3} - \frac{1}{5} = \frac{32}{15}$