Solve 40 30 - 3 30 - 30 =1 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{40}{30}-\frac{3}{30}-\frac{}{30}=1$$

Verify

$\text{false}$

Solution Steps

Reduce the fraction $\frac{40}{30}$ to lowest terms by extracting and canceling out $10$.

$$\frac{4}{3}-\frac{3}{30}-\frac{1}{30}=1$$

Reduce the fraction $\frac{3}{30}$ to lowest terms by extracting and canceling out $3$.

$$\frac{4}{3}-\frac{1}{10}-\frac{1}{30}=1$$

Least common multiple of $3$ and $10$ is $30$. Convert $\frac{4}{3}$ and $\frac{1}{10}$ to fractions with denominator $30$.

$$\frac{40}{30}-\frac{3}{30}-\frac{1}{30}=1$$

Since $\frac{40}{30}$ and $\frac{3}{30}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-3}{30}-\frac{1}{30}=1$$

Subtract $3$ from $40$ to get $37$.

$$\frac{37}{30}-\frac{1}{30}=1$$

Since $\frac{37}{30}$ and $\frac{1}{30}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{37-1}{30}=1$$

Subtract $1$ from $37$ to get $36$.

$$\frac{36}{30}=1$$

Reduce the fraction $\frac{36}{30}$ to lowest terms by extracting and canceling out $6$.

$$\frac{6}{5}=1$$

Convert $1$ to fraction $\frac{5}{5}$.

$$\frac{6}{5}=\frac{5}{5}$$

Compare $\frac{6}{5}$ and $\frac{5}{5}$.

$$\text{false}$$