1 3/8 -5/8 -3 1/8
To subtract these mixed numbers, you can follow these steps:
Step 1: Convert both mixed numbers to improper fractions.
1 3/8 = (8*1 + 3)/8 = 11/8
-3 1/8 = (8*(-3) + 1)/8 = -23/8
Step 2: Subtract the fractions.
11/8 - (-23/8) = 11/8 + 23/8
Step 3: Add the numerators and keep the denominator the same.
11 + 23 = 34
Step 4: Write the result as a fraction.
34/8
Step 5: Simplify the fraction if possible.
34/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2.
34/8 = (34/2)/(8/2) = 17/4
So, 1 3/8 - 5/8 - 3 1/8 is equal to 17/4.
To subtract mixed numbers, you can follow these steps:
1. Convert each mixed number into an improper fraction. To do this, multiply the whole number by the denominator and then add the numerator. For example:
- The mixed number 1 3/8 can be converted to an improper fraction as follows:
1 * 8 + 3 = 11
So, 1 3/8 is equivalent to 11/8.
- The mixed number -3 1/8 can also be converted to an improper fraction:
-3 * 8 + 1 = -23
So, -3 1/8 can be represented as -23/8.
2. Once all mixed numbers are converted to improper fractions, you can subtract them by performing the following steps:
- Subtract the numerators of the fractions while keeping the common denominator.
- The whole numbers can be subtracted as usual.
Now, let's calculate the given expression step by step:
1 3/8 - 5/8 - 3 1/8
Step 1: Convert mixed numbers to improper fractions:
1 3/8 = 11/8
-3 1/8 = -23/8
Step 2: Subtract the improper fractions:
11/8 - 5/8 = 6/8 = 3/4
Step 3: Subtract the whole numbers:
-3 - (-3) = -3 + 3 = 0
Therefore, 1 3/8 - 5/8 - 3 1/8 is equal to 0 - 3/4, which simplifies to -3/4.