Expand 7/10(5d+6)
To expand the expression 7/10(5d+6), we distribute the 7/10 to both terms inside the parentheses:
7/10(5d+6) = 7/10 * 5d + 7/10 * 6
Now, multiply each term inside the parentheses by 7/10:
= (7/10) * 5d + (7/10) * 6
= (35d/10) + (42/10)
Simplify each fraction:
= (7d/2) + (21/5)
Thus, the expanded form of 7/10(5d+6) is (7d/2) + (21/5).
To expand the expression 7/10(5d+6), we will distribute the 7/10 to both terms inside the parentheses.
[7/10 * 5d] + [7/10 * 6]
To simplify further, we can multiply the fractions:
(7/10) * (5d) = (7 * 5d) / (10) = 35d/10
(7/10) * (6) = (7 * 6) / (10) = 42/10
So the expanded expression becomes:
35d/10 + 42/10
Now, we can add the two fractions together since they have the same denominator:
(35d + 42) / 10
Therefore, the expanded form of 7/10(5d+6) is (35d + 42)/10.
To expand the expression 7/10(5d + 6), we can apply the distributive property, which states that a number or a variable outside a bracket can be distributed or multiplied to each term inside the bracket. Here's how you can expand it step by step:
1. Multiply 7/10 with every term inside the parenthesis:
(7/10) * 5d + (7/10) * 6
2. To simplify, multiply the fractions by multiplying the numerators and multiplying the denominators:
(7 * 5d) / (10 * 1) + (7 * 6) / (10 * 1)
3. Simplify the multiplication:
(35d) / 10 + 42 / 10
4. Combine like terms by finding a common denominator (10 in this case):
(35d + 42) / 10
Therefore, the expanded form of 7/10(5d + 6) is (35d + 42) / 10.