Evaluate the expression shown below and write your answer as a fraction in simplest form.
minus, one-tenth, plus, start fraction, 5, divided by, 8, end fraction
−
10
1
+
8
5
To evaluate this expression, we first calculate the division inside the fraction:
5 ÷ 8 = 5/8
Now we can rewrite the original expression with the division simplified:
-1/10 + 5/8
To add these fractions, we need to find a common denominator. The least common denominator of 10 and 8 is 40.
Next, we need to convert both fractions to have the same denominator of 40:
-1/10 = -4/40
5/8 = 25/40
Now we can add the fractions:
-4/40 + 25/40 = 21/40
Therefore, the simplified expression is 21/40.
Evaluate the expression shown below and write your answer as a fraction in simplest form.
start fraction, 11, divided by, 6, end fraction, plus, left bracket, minus, start fraction, 11, divided by, 10, end fraction, right bracket
6
11
+(−
10
11
)
To evaluate this expression, we first divide 11 by 6:
11 ÷ 6 = 11/6
Next, we divide 11 by 10 and negate the result:
-(11 ÷ 10) = -11/10
Now, we can add the two fractions together:
11/6 + (-11/10)
To add these fractions, we need to find a common denominator. The least common denominator of 6 and 10 is 30.
Now, we convert both fractions to have a common denominator of 30:
11/6 = 55/30
-11/10 = -33/30
Now we can add the fractions:
55/30 + (-33/30) = 22/30
The fraction 22/30 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
22/30 = (22 ÷ 2) / (30 ÷ 2) = 11/15
Therefore, the simplified expression is 11/15.
Evaluate the expression shown below and write your answer as a fraction in simplest form.
minus, start fraction, 11, divided by, 12, end fraction, plus, left bracket, minus, start fraction, 9, divided by, 20, end fraction, right bracket
−
12
11
+(−
20
9
)
To evaluate this expression, we first divide 11 by 12:
11 ÷ 12 = 11/12
Next, we divide 9 by 20 and negate the result:
-(9 ÷ 20) = -9/20
Now, we can add the two fractions together:
11/12 + (-9/20)
To add these fractions, we need to find a common denominator. The least common denominator of 12 and 20 is 60.
Now, we convert both fractions to have a common denominator of 60:
11/12 = (11/12) * (5/5) = 55/60
-9/20 = (9/20) * (3/3) = -27/60
Now we can add the fractions:
55/60 + (-27/60) = 28/60
The fraction 28/60 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4:
28/60 = (28 ÷ 4) / (60 ÷ 4) = 7/15
Therefore, the simplified expression is 7/15.
thats wrong
what is 3/5 - 1/3
what is 3/5 - 1/3
To evaluate the expression and write the answer as a fraction in simplest form, we follow the order of operations (PEMDAS/BODMAS):
1. Start by performing the division inside the fraction:
5 ÷ 8 = 5/8
2. Next, subtract one-tenth from the result of the division:
5/8 - 1/10
To add or subtract fractions, we need a common denominator. The least common multiple (LCM) of 8 and 10 is 40. Therefore, we need to rewrite both fractions with the denominator 40:
5/8 = (5/8) * (5/5) = 25/40
1/10 = (1/10) * (4/4) = 4/40
Now we can subtract:
25/40 - 4/40 = (25 - 4)/40 = 21/40
So, the answer to the expression minus one-tenth plus 5/8 is 21/40 in simplest form.
I apologize for the mistake in my previous response. Let's re-evaluate the expression correctly.
To evaluate this expression, we first divide 11 by 12:
11 ÷ 12 = 11/12
Next, we divide 9 by 20 and negate the result:
-(9 ÷ 20) = -9/20
Now, we can add the two fractions together:
11/12 + (-9/20)
To add these fractions, we need to find a common denominator. The least common denominator of 12 and 20 is 60.
Now, we convert both fractions to have a common denominator of 60:
11/12 = (11/12) * (5/5) = 55/60
-9/20 = (9/20) * (3/3) = -27/60
Now we can add the fractions:
55/60 + (-27/60) = 28/60
The fraction 28/60 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4:
28/60 = (28 ÷ 4) / (60 ÷ 4) = 7/15
Therefore, the simplified expression is 7/15.
I apologize for any confusion caused by my previous incorrect response. Thank you for pointing out the mistake.