Quotient Rule of Exponent
Simplify 4/13 divide 3/-5
To simplify 4/13 divided by 3/-5, we can rewrite it as a multiplication problem by multiplying by the reciprocal of the second fraction:
4/13 ÷ 3/-5
Can be rewritten as:
4/13 * -5/3
Using the quotient rule of exponents, we multiply the numerators and denominators:
(4 * -5) / (13 * 3) = -20 / 39
Therefore, 4/13 divided by 3/-5 simplifies to -20/39.
To simplify the expression 4/13 ÷ 3/-5, you can use the quotient rule of exponents.
Step 1: Simplify the numerator
The numerator of the expression is 4/13.
Step 2: Simplify the denominator
The denominator of the expression is 3/-5, which can also be written as -3/5.
Step 3: Divide the numerator by the denominator
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction. Therefore, the expression 4/13 ÷ -3/5 can be written as 4/13 * 5/-3.
Step 4: Simplify the expression
Multiplying the numerators together (4 * 5), the result is 20.
Multiplying the denominators together (13 * -3), the result is -39.
Therefore, the simplified form of 4/13 ÷ 3/-5 is 20/-39.