Solved on Jan 21, 2024

Simplify $\frac{25}{30}$ to lowest terms by factoring the numerator and denominator.

STEP 1

Assumptions
1. We need to simplify the fraction $\frac{25}{30}$ to its lowest terms.
2. Simplifying to lowest terms involves factoring both the numerator and the denominator and then canceling out common factors.

STEP 2

First, we should factor both the numerator and the denominator to find the common factors.
$\text{Numerator (25)} = 5 \times 5$
$\text{Denominator (30)} = 2 \times 3 \times 5$

STEP 3

Now, we can write the fraction with these factors.
$\frac{25}{30} = \frac{5 \times 5}{2 \times 3 \times 5}$

STEP 4

Next, we cancel out the common factor of 5 that appears in both the numerator and the denominator.
$\frac{5 \times 5}{2 \times 3 \times 5} = \frac{\cancel{5} \times 5}{2 \times 3 \times \cancel{5}}$

STEP 5

After canceling out the common factor, we rewrite the fraction with the remaining factors.
$\frac{\cancel{5} \times 5}{2 \times 3 \times \cancel{5}} = \frac{5}{2 \times 3}$

STEP 6

Now we multiply the factors in the denominator to find the simplified denominator.
$2 \times 3 = 6$

STEP 7

Finally, we write the simplified fraction.
$\frac{5}{2 \times 3} = \frac{5}{6}$
The fraction $\frac{25}{30}$ simplified to lowest terms is $\frac{5}{6}$ .

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Simplify $\frac{25}{30}$ to lowest terms by factoring the numerator and denominator.

STEP 1

Assumptions
1. We need to simplify the fraction $\frac{25}{30}$ to its lowest terms.
2. Simplifying to lowest terms involves factoring both the numerator and the denominator and then canceling out common factors.

STEP 2

First, we should factor both the numerator and the denominator to find the common factors.
$\text{Numerator (25)} = 5 \times 5$
$\text{Denominator (30)} = 2 \times 3 \times 5$

STEP 3

Now, we can write the fraction with these factors.
$\frac{25}{30} = \frac{5 \times 5}{2 \times 3 \times 5}$

STEP 4

Next, we cancel out the common factor of 5 that appears in both the numerator and the denominator.
$\frac{5 \times 5}{2 \times 3 \times 5} = \frac{\cancel{5} \times 5}{2 \times 3 \times \cancel{5}}$

STEP 5

After canceling out the common factor, we rewrite the fraction with the remaining factors.
$\frac{\cancel{5} \times 5}{2 \times 3 \times \cancel{5}} = \frac{5}{2 \times 3}$

STEP 6

Now we multiply the factors in the denominator to find the simplified denominator.
$2 \times 3 = 6$

STEP 7

Finally, we write the simplified fraction.
$\frac{5}{2 \times 3} = \frac{5}{6}$
The fraction $\frac{25}{30}$ simplified to lowest terms is $\frac{5}{6}$ .

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Simplify 2530\frac{25}{30}3025​ to lowest terms by factoring the numerator and denominator.

STEP 1

Assumptions1. We need to simplify the fraction 2530\frac{25}{30}3025​ to its lowest terms.2. Simplifying to lowest terms involves factoring both the numerator and the denominator and then canceling out common factors.

STEP 2

First, we should factor both the numerator and the denominator to find the common factors.Numerator (25)=5×5 \text{Numerator (25)} = 5 \times 5 Numerator (25)=5×5Denominator (30)=2×3×5 \text{Denominator (30)} = 2 \times 3 \times 5 Denominator (30)=2×3×5

STEP 3

Now, we can write the fraction with these factors.2530=5×52×3×5 \frac{25}{30} = \frac{5 \times 5}{2 \times 3 \times 5} 3025​=2×3×55×5​

STEP 4

Next, we cancel out the common factor of 5 that appears in both the numerator and the denominator.5×52×3×5=5×52×3×5 \frac{5 \times 5}{2 \times 3 \times 5} = \frac{\cancel{5} \times 5}{2 \times 3 \times \cancel{5}} 2×3×55×5​=2×3×5​5​×5​

STEP 5

After canceling out the common factor, we rewrite the fraction with the remaining factors.5×52×3×5=52×3 \frac{\cancel{5} \times 5}{2 \times 3 \times \cancel{5}} = \frac{5}{2 \times 3} 2×3×5​5​×5​=2×35​

STEP 6

Now we multiply the factors in the denominator to find the simplified denominator.2×3=6 2 \times 3 = 6 2×3=6

STEP 7

Finally, we write the simplified fraction.52×3=56 \frac{5}{2 \times 3} = \frac{5}{6} 2×35​=65​The fraction 2530\frac{25}{30}3025​ simplified to lowest terms is 56\frac{5}{6}65​.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Simplify $\frac{25}{30}$ to lowest terms by factoring the numerator and denominator.

Assumptions
1. We need to simplify the fraction $\frac{25}{30}$ to its lowest terms.
2. Simplifying to lowest terms involves factoring both the numerator and the denominator and then canceling out common factors.

First, we should factor both the numerator and the denominator to find the common factors.
$\text{Numerator (25)} = 5 \times 5$
$\text{Denominator (30)} = 2 \times 3 \times 5$

Now, we can write the fraction with these factors.
$\frac{25}{30} = \frac{5 \times 5}{2 \times 3 \times 5}$

Next, we cancel out the common factor of 5 that appears in both the numerator and the denominator.
$\frac{5 \times 5}{2 \times 3 \times 5} = \frac{\cancel{5} \times 5}{2 \times 3 \times \cancel{5}}$

After canceling out the common factor, we rewrite the fraction with the remaining factors.
$\frac{\cancel{5} \times 5}{2 \times 3 \times \cancel{5}} = \frac{5}{2 \times 3}$

Now we multiply the factors in the denominator to find the simplified denominator.
$2 \times 3 = 6$

Finally, we write the simplified fraction.
$\frac{5}{2 \times 3} = \frac{5}{6}$
The fraction $\frac{25}{30}$ simplified to lowest terms is $\frac{5}{6}$ .