To expand the given expression, distribute \( \frac{7}{4} \) to each term inside the parentheses:
\( \frac{7}{4} ( 8h + 3 ) \)
= \( \frac{7}{4} * 8h + \frac{7}{4} * 3 \)
Now, simplify each term:
= \( \frac{7 * 8}{4}h + \frac{7 * 3}{4} \)
= \( \frac{56}{4}h + \frac{21}{4} \)
Next, reduce the fractions, if possible:
= \( 14h + \frac{21}{4} \)
So the expanded expression is:
\( 14h + \frac{21}{4} \)
Expand 7/4 ( 8 h + 3 )
3 answers
SAY IT IN ENGLISH
Certainly! When you multiply 7/4 (which is seven-fourths or 1 and three-quarters) by the expression (8h + 3), you're essentially scaling up each part of the expression by that amount.
Here's the step-by-step in plain English:
1. You multiply seven-fourths by 8h. Since 8 times 7 is 56 and 56 divided by 4 is 14, you get 14h.
2. Then, you also multiply seven-fourths by 3. Seven times 3 is 21, and since you're dividing by 4, you end up with twenty-one-fourths or 5 and one-quarter (although we usually don't simplify it in algebraic expressions).
So, when you put it all together, you've increased both parts of the original expression by seven-fourths, giving you 14h from the first part and 5 and one-quarter (or twenty-one-fourths) from the second part.
The final expanded expression is therefore "14h plus five and one-quarter."
Here's the step-by-step in plain English:
1. You multiply seven-fourths by 8h. Since 8 times 7 is 56 and 56 divided by 4 is 14, you get 14h.
2. Then, you also multiply seven-fourths by 3. Seven times 3 is 21, and since you're dividing by 4, you end up with twenty-one-fourths or 5 and one-quarter (although we usually don't simplify it in algebraic expressions).
So, when you put it all together, you've increased both parts of the original expression by seven-fourths, giving you 14h from the first part and 5 and one-quarter (or twenty-one-fourths) from the second part.
The final expanded expression is therefore "14h plus five and one-quarter."