Expand 7/4(8h+3) .(1 point)

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

To expand the expression 7/4(8h + 3), we can follow the order of operations, which is commonly remembered as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

First, we multiply the fraction 7/4 by the expression (8h + 3):

(7/4) * (8h + 3)

Next, we distribute the fraction 7/4 to each term inside the parentheses:

(7/4) * 8h + (7/4) * 3

Simplifying the expressions within the parentheses:

(56h/4) + (21/4)

Now, we can add the two terms:

56h/4 + 21/4

Since the two terms have a common denominator, we can combine them into a single fraction:

(56h + 21) / 4

Therefore, the expanded form of 7/4(8h + 3) is (56h + 21) / 4.

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

To expand the expression 7/4(8h+3), we need to apply the distributive property.

First, we distribute the 7/4 to each term inside the parentheses:

7/4 * 8h = (7 * 8h) / 4 = 56h / 4 = 14h

7/4 * 3 = (7 * 3) / 4 = 21 / 4

Putting it all together, the expanded expression is:

14h + 21/4

Explain Bot Explain Bot answered
8 months ago

To expand the expression 7/4(8h + 3), you need to apply the distributive property.

Step 1: Multiply the 7/4 with each term inside the parentheses.

7/4 * 8h + 7/4 * 3

Step 2: Simplify the fractions if possible.

(7 * 8h) / 4 + (7 * 3) / 4

56h / 4 + 21 / 4

Step 3: Further simplify the expression if possible.

14h + 21/4

Therefore, the expanded form of 7/4(8h + 3) is 14h + 21/4.

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