QuestionCalculate $\frac{3}{8} + \frac{1}{3}$ and verify if it equals $\frac{17}{24} \frac{9+8}{24}$ .

Studdy Solution

STEP 1

Assumptions1. We are given the equation $\frac{3}{8}+\frac{1}{3}=\frac{17}{24} \frac{9+8}{24}$ . . We are assuming that the operations in the equation follow the order of operations (PEMDAS/BODMAS).

STEP 2

First, we need to simplify the right side of the equation. According to the order of operations, we should perform the operation inside the parentheses first.
$\frac{17}{24} \frac{9+8}{24} = \frac{17}{24} \frac{17}{24}$

STEP 3

Next, we multiply the two fractions on the right side of the equation.
$\frac{17}{24} \times \frac{17}{24} = \frac{289}{576}$

STEP 4

Now, we simplify the left side of the equation. To add fractions, we need to find a common denominator. The least common multiple (LCM) of8 and3 is24.
$\frac{3}{8}+\frac{1}{3} = \frac{9}{24} + \frac{8}{24}$

STEP 5

Now, we add the two fractions on the left side of the equation.
$\frac{9}{24} + \frac{8}{24} = \frac{17}{24}$

STEP 6

Finally, we compare the simplified left side and right side of the equation.
$\frac{17}{24} = \frac{289}{576}$ This equation is not true, so the original equation $\frac{3}{8}+\frac{1}{3}=\frac{17}{24} \frac{9+8}{24}$ is not correct.

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QuestionCalculate $\frac{3}{8} + \frac{1}{3}$ and verify if it equals $\frac{17}{24} \frac{9+8}{24}$ .

Studdy Solution

STEP 1

Assumptions1. We are given the equation $\frac{3}{8}+\frac{1}{3}=\frac{17}{24} \frac{9+8}{24}$ . . We are assuming that the operations in the equation follow the order of operations (PEMDAS/BODMAS).

STEP 2

First, we need to simplify the right side of the equation. According to the order of operations, we should perform the operation inside the parentheses first.
$\frac{17}{24} \frac{9+8}{24} = \frac{17}{24} \frac{17}{24}$

STEP 3

Next, we multiply the two fractions on the right side of the equation.
$\frac{17}{24} \times \frac{17}{24} = \frac{289}{576}$

STEP 4

Now, we simplify the left side of the equation. To add fractions, we need to find a common denominator. The least common multiple (LCM) of8 and3 is24.
$\frac{3}{8}+\frac{1}{3} = \frac{9}{24} + \frac{8}{24}$

STEP 5

Now, we add the two fractions on the left side of the equation.
$\frac{9}{24} + \frac{8}{24} = \frac{17}{24}$

STEP 6

Finally, we compare the simplified left side and right side of the equation.
$\frac{17}{24} = \frac{289}{576}$ This equation is not true, so the original equation $\frac{3}{8}+\frac{1}{3}=\frac{17}{24} \frac{9+8}{24}$ is not correct.

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QuestionCalculate 38+13\frac{3}{8} + \frac{1}{3}83​+31​ and verify if it equals 17249+824\frac{17}{24} \frac{9+8}{24}2417​249+8​.

Studdy Solution

STEP 1

Assumptions1. We are given the equation 38+13=17249+824\frac{3}{8}+\frac{1}{3}=\frac{17}{24} \frac{9+8}{24}83​+31​=2417​249+8​. . We are assuming that the operations in the equation follow the order of operations (PEMDAS/BODMAS).

STEP 2

First, we need to simplify the right side of the equation. According to the order of operations, we should perform the operation inside the parentheses first.17249+824=17241724\frac{17}{24} \frac{9+8}{24} = \frac{17}{24} \frac{17}{24}2417​249+8​=2417​2417​

STEP 3

Next, we multiply the two fractions on the right side of the equation.1724×1724=289576\frac{17}{24} \times \frac{17}{24} = \frac{289}{576}2417​×2417​=576289​

STEP 4

Now, we simplify the left side of the equation. To add fractions, we need to find a common denominator. The least common multiple (LCM) of8 and3 is24.38+13=924+824\frac{3}{8}+\frac{1}{3} = \frac{9}{24} + \frac{8}{24}83​+31​=249​+248​

STEP 5

Now, we add the two fractions on the left side of the equation.924+824=1724\frac{9}{24} + \frac{8}{24} = \frac{17}{24}249​+248​=2417​

STEP 6

Finally, we compare the simplified left side and right side of the equation.1724=289576\frac{17}{24} = \frac{289}{576}2417​=576289​This equation is not true, so the original equation 38+13=17249+824\frac{3}{8}+\frac{1}{3}=\frac{17}{24} \frac{9+8}{24}83​+31​=2417​249+8​ is not correct.

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QuestionCalculate $\frac{3}{8} + \frac{1}{3}$ and verify if it equals $\frac{17}{24} \frac{9+8}{24}$ .

Assumptions1. We are given the equation $\frac{3}{8}+\frac{1}{3}=\frac{17}{24} \frac{9+8}{24}$ . . We are assuming that the operations in the equation follow the order of operations (PEMDAS/BODMAS).

First, we need to simplify the right side of the equation. According to the order of operations, we should perform the operation inside the parentheses first.
$\frac{17}{24} \frac{9+8}{24} = \frac{17}{24} \frac{17}{24}$

Next, we multiply the two fractions on the right side of the equation.
$\frac{17}{24} \times \frac{17}{24} = \frac{289}{576}$

Now, we simplify the left side of the equation. To add fractions, we need to find a common denominator. The least common multiple (LCM) of8 and3 is24.
$\frac{3}{8}+\frac{1}{3} = \frac{9}{24} + \frac{8}{24}$

Now, we add the two fractions on the left side of the equation.
$\frac{9}{24} + \frac{8}{24} = \frac{17}{24}$

Finally, we compare the simplified left side and right side of the equation.
$\frac{17}{24} = \frac{289}{576}$ This equation is not true, so the original equation $\frac{3}{8}+\frac{1}{3}=\frac{17}{24} \frac{9+8}{24}$ is not correct.