Express your answer as a mixed number in simplest form.
3, one eigth, minus, 1, start fraction, 2, divided by, 5, end fraction
3
8
1
−1
5
2
To simplify this expression, we need to find a common denominator for the fractions. The denominators are 8 and 5.
The least common multiple of 8 and 5 is 40.
To make 8 have a denominator of 40, we multiply the numerator and denominator by 5:
3 1/8 = 3 * 5/8 * 5 = 15/40
To make 5 have a denominator of 40, we multiply the numerator and denominator by 8:
1 2/5 = 1 * 8/5 * 8 = 8/40
Now we can subtract the fractions:
15/40 - 8/40 = (15 - 8)/40 = 7/40
Therefore, 3 1/8 - 1 2/5 = 7/40.
To express the expression 3 and 1/8 minus 1 and 2/5 as a mixed number in simplest form, we need to find a common denominator for the fractions. The least common denominator for 8 and 5 is 40.
Converting 1/8 to a fraction with a denominator of 40:
(1/8) * (5/5) = 5/40
Converting 2/5 to a fraction with a denominator of 40:
(2/5) * (8/8) = 16/40
Now, we can rewrite the expression with a common denominator of 40:
3 and 5/40 - 1 and 16/40
To subtract mixed numbers, we subtract the whole numbers separately and then subtract the fractional parts.
3 - 1 = 2
Now, let's subtract the fractional parts:
5/40 - 16/40 = (5 - 16)/40 = -11/40
Combining the whole number and the fraction, we get:
2 - 11/40
Therefore, the expression 3 and 1/8 minus 1 and 2/5 as a mixed number in simplest form is 2 - 11/40.
its a mixed number
Apologies for the oversight. Let's convert the improper fraction -11/40 into a mixed number.
To do this, we divide the numerator (-11) by the denominator (40). The quotient becomes the whole number part of the mixed number, and the remainder becomes the numerator of the fractional part.
-11 ÷ 40 = -0 remainder -11
The quotient of -0 becomes the whole number part, and the remainder of -11 becomes the numerator of the fractional part. The denominator remains the same.
Therefore, the mixed number in simplest form is 0 - 11/40.
not correct
I apologize for the mistake. Let's correct the calculation.
To find the difference between 3 1/8 and 1 2/5, we first write the mixed numbers as improper fractions:
3 1/8 = (3 * 8 + 1)/8 = 25/8
1 2/5 = (1 * 5 + 2)/5 = 7/5
Now, we need to find a common denominator for the fractions, which is 40.
Converting 25/8 to a fraction with a denominator of 40:
(25/8) * (5/5) = 125/40
Converting 7/5 to a fraction with a denominator of 40:
(7/5) * (8/8) = 56/40
Now, we can rewrite the expression with a common denominator of 40:
25/40 - 56/40
To subtract the fractions, we simply subtract the numerators and keep the denominator the same:
25/40 - 56/40 = -31/40
Since the numerator is negative, we can express it as a mixed number. To do this, we divide the numerator (-31) by the denominator (40). The quotient becomes the whole number part of the mixed number, and the remainder becomes the numerator of the fractional part.
-31 ÷ 40 = - 0 rem. -31
The quotient of -0 becomes the whole number part, and the remainder of -31 becomes the numerator of the fractional part. The denominator remains the same.
Therefore, the mixed number in simplest form is 0 - 31/40.
Evaluate the expression shown below and write your answer as a fraction in simplest form.
one half, minus, start fraction, 7, divided by, 20, end fraction
2
1
−
20
7
To simplify this expression, we need to find a common denominator for the fractions. The denominators are 2 and 20.
The least common multiple of 2 and 20 is 20.
To make 2 have a denominator of 20, we multiply the numerator and denominator by 10:
1/2 = 1 * 10/2 * 10 = 10/20
To make 20 have a denominator of 20, we multiply the numerator and denominator by 1:
7/20 = 7 * 1/20 * 1 = 7/20
Now we can subtract the fractions:
10/20 - 7/20 = (10 - 7)/20 = 3/20
Therefore, one half minus seven twentieths is equal to 3/20.
To express the answer as a mixed number in simplest form, we need to subtract 1 2/5 from 3 1/8. Let's break down the steps to find the solution:
Step 1: Convert the whole numbers and fractions into improper fractions:
3 = 3/1 = 24/8
1/8 = 1/8
1 2/5 = 7/5
Step 2: Subtract the fractions:
24/8 - 7/5
To subtract fractions, we need to find a common denominator. The least common multiple (LCM) of 8 and 5 is 40. We can use this as the common denominator.
Step 3: Adjust the fractions to have a common denominator of 40:
24/8 = (24/8) x (5/5) = 120/40
7/5 = (7/5) x (8/8) = 56/40
Step 4: Subtract the adjusted fractions:
120/40 - 56/40 = (120 - 56)/40 = 64/40
Step 5: Simplify the fraction:
The greatest common divisor (GCD) of 64 and 40 is 8. Divide both the numerator and denominator by 8 to simplify the fraction:
64/8 = 8
40/8 = 5
Now we have:
8/5
Step 6: Express the fraction as a mixed number:
Divide the numerator (8) by the denominator (5):
8 ÷ 5 = 1 with a remainder of 3
The mixed number in simplest form is:
1 3/5