Solved on Nov 07, 2023

Solve for the value of $A$ given the fraction equation $\frac{15}{35}=\frac{A}{7}$ .

STEP 1

Assumptions1. We are given the equation $\frac{15}{35}=\frac{A}{7}$ . . We are trying to solve for $A$ .

STEP 2

We can start by simplifying the left side of the equation. The fraction $\frac{15}{35}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is5.
$\frac{15}{35} = \frac{15 \div5}{35 \div5}$

STEP 3

Perform the division to simplify the fraction.
$\frac{15 \div5}{35 \div5} = \frac{3}{7}$

STEP 4

Now, we can rewrite the original equation with the simplified fraction.
$\frac{3}{7} = \frac{A}{7}$

STEP 5

To solve for $A$ , we can multiply both sides of the equation by7.
$7 \times \frac{3}{7} =7 \times \frac{A}{7}$

STEP 6

Perform the multiplication on both sides of the equation.
$\times \frac{3}{} =3$ $\times \frac{A}{} = A$

STEP 7

Now, we can rewrite the equation with the calculated values.
$3 = A$ So, $A =3$ .

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Solve for the value of $A$ given the fraction equation $\frac{15}{35}=\frac{A}{7}$ .

STEP 1

Assumptions1. We are given the equation $\frac{15}{35}=\frac{A}{7}$ . . We are trying to solve for $A$ .

STEP 2

We can start by simplifying the left side of the equation. The fraction $\frac{15}{35}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is5.
$\frac{15}{35} = \frac{15 \div5}{35 \div5}$

STEP 3

Perform the division to simplify the fraction.
$\frac{15 \div5}{35 \div5} = \frac{3}{7}$

STEP 4

Now, we can rewrite the original equation with the simplified fraction.
$\frac{3}{7} = \frac{A}{7}$

STEP 5

To solve for $A$ , we can multiply both sides of the equation by7.
$7 \times \frac{3}{7} =7 \times \frac{A}{7}$

STEP 6

Perform the multiplication on both sides of the equation.
$\times \frac{3}{} =3$ $\times \frac{A}{} = A$

STEP 7

Now, we can rewrite the equation with the calculated values.
$3 = A$ So, $A =3$ .

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Solve for the value of AAA given the fraction equation 1535=A7\frac{15}{35}=\frac{A}{7}3515​=7A​.

STEP 1

Assumptions1. We are given the equation 1535=A7\frac{15}{35}=\frac{A}{7}3515​=7A​. . We are trying to solve for AAA.

STEP 2

We can start by simplifying the left side of the equation. The fraction 1535\frac{15}{35}3515​ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is5.1535=15÷535÷5\frac{15}{35} = \frac{15 \div5}{35 \div5}3515​=35÷515÷5​

STEP 3

Perform the division to simplify the fraction.15÷535÷5=37\frac{15 \div5}{35 \div5} = \frac{3}{7}35÷515÷5​=73​

STEP 4

Now, we can rewrite the original equation with the simplified fraction.37=A7\frac{3}{7} = \frac{A}{7}73​=7A​

STEP 5

To solve for AAA, we can multiply both sides of the equation by7.7×37=7×A77 \times \frac{3}{7} =7 \times \frac{A}{7}7×73​=7×7A​

STEP 6

Perform the multiplication on both sides of the equation.×3=3 \times \frac{3}{} =3×3​=3×A=A \times \frac{A}{} = A×A​=A

STEP 7

Now, we can rewrite the equation with the calculated values.3=A3 = A3=ASo, A=3A =3A=3.

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

Solve for the value of $A$ given the fraction equation $\frac{15}{35}=\frac{A}{7}$ .

Assumptions1. We are given the equation $\frac{15}{35}=\frac{A}{7}$ . . We are trying to solve for $A$ .

We can start by simplifying the left side of the equation. The fraction $\frac{15}{35}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is5.
$\frac{15}{35} = \frac{15 \div5}{35 \div5}$

Perform the division to simplify the fraction.
$\frac{15 \div5}{35 \div5} = \frac{3}{7}$

Now, we can rewrite the original equation with the simplified fraction.
$\frac{3}{7} = \frac{A}{7}$

To solve for $A$ , we can multiply both sides of the equation by7.
$7 \times \frac{3}{7} =7 \times \frac{A}{7}$

Perform the multiplication on both sides of the equation.
$\times \frac{3}{} =3$ $\times \frac{A}{} = A$

Now, we can rewrite the equation with the calculated values.
$3 = A$ So, $A =3$ .