Evaluate the expression. Write your answer as a fraction in simplest form.
- 12/5 + 3/10
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11/14 - (-9/14)
plz help
I need help :( Evaluate the expression for a = 1 1/2, b = 2 1/3, c = 1/4, and d = 3. Write each answer in simplest form.
d - a
-3(5)-2 to the second power
To evaluate the given expression and write the answer as a fraction in simplest form, we will follow these steps separately for the numerator and the denominator:
Step 1: Add/Subtract the fractions:
- The numerator:
To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 10 (the least common multiple of 5 and 10).
- Multiply the first fraction by 2/2 to obtain a denominator of 10:
(-12/5) * (2/2) = -24/10
- The second fraction already has a denominator of 10, so we leave it as is: 3/10
- Add the numerators:
(-24/10) + 3/10 = -21/10
Step 2: Subtract the fractions:
- The denominator:
To subtract fractions with the same denominator, we simply subtract their numerators:
11/14 - (-9/14) = 11/14 + 9/14 = 20/14
Step 3: Simplify the fraction:
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator, and then divide both by this GCD.
- The GCD of 21 and 10 is 1, so we divide both the numerator and denominator by 1:
(-21/10) divided by 20/14 = (-21/10) * (14/20) = -294/200
However, the fraction -294/200 is not in simplest form because both the numerator and denominator can be divided by 2:
- Divide the numerator by 2: -294 ÷ 2 = -147
- Divide the denominator by 2: 200 ÷ 2 = 100
So, in simplest form, the expression evaluates to:
-147/100
- 12/5 + 3/10 = -24/10 + 3/10 = ?
11/14 - (-9/14) = 11/14 + 9/14 = ?