3-4/5-3/10=? 8-5/12-1/3=?
3/1 - 4/5 - 3/10 =
30/10 - 8/10 - 3/10=19/10 = 1 9/10.
8/1 - 5/12 - 1/3 =
96/12 - 5/12 - 4/12 = 87/12 = 7 3/12 =
7 1/4.
To solve these expressions, we need to use the rules of arithmetic and simplify each expression step by step. Let's start with the first expression:
3 - 4/5 - 3/10
Step 1: Find a common denominator for 5 and 10. In this case, the least common multiple (LCM) is 10.
Step 2: Convert the fractions to have a denominator of 10:
3 - (4/5) - (3/10) = (30/10) - (8/10) - (3/10)
Step 3: Subtract the numerators and keep the common denominator:
(30 - 8 - 3) / 10 = 19/10
Therefore, the answer to the first expression is 19/10.
Now, let's move on to the second expression:
8 - 5/12 - 1/3
Step 1: Find a common denominator for 12 and 3. In this case, the least common multiple (LCM) is 12.
Step 2: Convert the fractions to have a denominator of 12:
8 - (5/12) - (1/3) = (96/12) - (5/12) - (4/12)
Step 3: Subtract the numerators and keep the common denominator:
(96 - 5 - 4) / 12 = 87/12
Therefore, the answer to the second expression is 87/12.
To summarize:
3 - 4/5 - 3/10 = 19/10
8 - 5/12 - 1/3 = 87/12