How does 3 and5/8 minus1 and3/4 equal1 and3/4
Duplicate post. Already answered
To calculate the subtraction of mixed numbers, you need to subtract both the whole numbers and the fractional parts separately. Here's how you can solve the problem step by step:
1. Begin with the whole numbers:
Subtract the whole numbers: 3 - 1 = 2
2. Moving on to the fractional parts:
To subtract fractions, make sure the denominators are the same. In this case, we have 8 and 4 as the denominators.
To make the denominators the same, find the least common multiple (LCM) of 8 and 4, which is 8.
Now, we need to convert both fractions to have a denominator of 8.
For 5/8:
Multiply both the numerator and denominator by 1 (8 divided by 8):
5/8 * 1/1 = 40/64
For 3/4:
Multiply both the numerator and denominator by 2 (8 divided by 4):
3/4 * 2/2 = 6/8
3. Subtract the fractions:
40/64 - 6/8 =
Since the denominators are now the same, we can subtract the numerators directly and keep the denominator:
40 - 6 = 34
So, the result is 34/64.
4. Simplify the fraction:
Determine the greatest common divisor (GCD) of 34 and 64, which is 2. Divide both the numerator and denominator by the GCD:
34 ÷ 2 = 17
64 ÷ 2 = 32
Now, the fraction becomes 17/32.
5. Combine the whole number and the simplified fraction:
The whole number part is 2 and the fraction is 17/32.
Therefore, the final answer is 2 and 17/32 or 2 17/32.