Subtracting Mixed Numbers: 1 3/4 - 1 3/8
In this article, we will explore how to subtract mixed numbers, specifically 1 3/4 minus 1 3/8. We will go through the step-by-step process and explain the rules to follow when subtracting mixed numbers.
Understanding Mixed Numbers
Before we dive into the subtraction process, let's quickly review what mixed numbers are. A mixed number is a combination of a whole number and a fraction. For example, 1 3/4 is a mixed number where 1 is the whole number part and 3/4 is the fractional part.
Step 1: Convert Mixed Numbers to Improper Fractions
To subtract mixed numbers, we need to convert them into improper fractions. An improper fraction is a fraction where the numerator is greater than the denominator.
Converting 1 3/4 to an Improper Fraction
To convert 1 3/4 to an improper fraction, we multiply the whole number part (1) by the denominator (4) and then add the numerator (3).
1 × 4 = 4
4 + 3 = 7
So, 1 3/4 equals 7/4.
Converting 1 3/8 to an Improper Fraction
Similarly, we convert 1 3/8 to an improper fraction:
1 × 8 = 8
8 + 3 = 11
So, 1 3/8 equals 11/8.
Step 2: Subtract the Improper Fractions
Now that we have converted both mixed numbers to improper fractions, we can subtract them.
7/4 - 11/8
To subtract fractions with different denominators, we need to find the least common multiple (LCM) of the denominators. In this case, the LCM of 4 and 8 is 8. We can rewrite the fractions with a denominator of 8:
7 × 2 = 14
4 × 2 = 8
11/8
Now we can subtract:
14/8 - 11/8 = 3/8
The Final Answer
The result of subtracting 1 3/4 and 1 3/8 is 3/8.
