Mathematics, 02.09.2020 02:01 mcmccann4317

What is the value of x?
6.75+3/8×=13 1/4

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Answer from: huangjianhe135

x = 17.3333

Step-by-step explanation:

Solve for x:

(3 x)/8 + 6.75 = 13 + 1/4

Hint: | Put the fractions in (3 x)/8 + 6.75 over a common denominator.

Put each term in (3 x)/8 + 6.75 over the common denominator 8: (3 x)/8 + 6.75 = (3 x)/8 + 54/8:

(3 x)/8 + 54/8 = 13 + 1/4

Hint: | Combine (3 x)/8 + 54/8 into a single fraction.

(3 x)/8 + 54/8 = (3 x + 54)/8:

(3 x + 54)/8 = 13 + 1/4

Hint: | Put the fractions in 13 + 1/4 over a common denominator.

Put 13 + 1/4 over the common denominator 4. 13 + 1/4 = (4×13)/4 + 1/4:

(3 x + 54)/8 = (4×13)/4 + 1/4

Hint: | Multiply 4 and 13 together.

4×13 = 52:

(3 x + 54)/8 = 52/4 + 1/4

Hint: | Add the fractions over a common denominator to a single fraction.

52/4 + 1/4 = (52 + 1)/4:

(3 x + 54)/8 = (52 + 1)/4

Hint: | Evaluate 52 + 1.

52 + 1 = 53:

(3 x + 54)/8 = 53/4

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (3 x + 54)/8 = 53/4 by 8:

(3 x + 54)/(8 1/8) = 1/4×1/(1/8) 53

Hint: | Any nonzero number divided by itself is one.

1/8×1/(1/8) = 1:

3 x + 54 = 1/4×1/(1/8) 53

Hint: | Write 1/4×1/(1/8) as a single fraction.

Multiply the numerator of 1/4×1/(1/8) by the reciprocal of the denominator. 1/4×1/(1/8) = 1/4×8:

3 x + 54 = 1/4×8×53

Hint: | Express 1/4×8×53 as a single fraction.

1/4×8×53 = (8×53)/4:

3 x + 54 = (8×53)/4

Hint: | In (8×53)/4, divide 8 in the numerator by 4 in the denominator.

8/4 = (4×2)/4 = 2:

3 x + 54 = 2×53

Hint: | Multiply 2 and 53 together.

2×53 = 106:

3 x + 54 = 106

Hint: | Isolate terms with x to the left hand side.

Subtract 54 from both sides:

3 x + (54 - 54) = 106 - 54

Hint: | Look for the difference of two identical terms.

54 - 54 = 0:

3 x = 106 - 54

Hint: | Evaluate 106 - 54.

106 - 54 = 52:

3 x = 52

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 3 x = 52 by 3:

(3 x)/3 = 52/3

Hint: | Any nonzero number divided by itself is one.

3/3 = 1:

x = 52/3

Hint: | Express 52/3 in decimal form.

52/3 = 17.3333:

x = 17.3333

Answer from: Quest

$32,660

step-by-step explanation:

Answer from: Quest

step-by-step explanation:

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