What fraction of 3/4+7/1
Answers
3
4
+
7
1
=
31
4
=
7 3
4
Result in decimals: 7.75
Calculation steps:
3
4
+
7
1
=
3
4
+
7 × 4
1 × 4
=
3
4
+
28
4
=
3 + 28
4
=
31
4
=
7 3
4
Further explanation
For the problem:
3
4
+
7
1
= ?
The Least Common Multiple (LCM) of 4 and 1 is 4. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:
3
4
+
7
1
=
3
4
+
7 × 4
1 × 4
=
3
4
+
28
4
Now that the fractions have like denominators, add the numerators:
3
4
+
28
4
=
3 + 28
4
=
31
4
31 ÷ 4 = 7R3, therefore:
31
4
=
7 3
4
The result is:
3
4
+
7
1
=
7 3
4
Answer:Step 1
We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.
So we multiply 4 by 3, and get 12.
Then we multiply 1 by 7, and get 7.
Next we give both terms new denominators -- 7 × 3 = 21.
So now our fractions look like this:
12
21
−
7
21
Step 2
Since our denominators match, we can subtract the numerators.
12 − 7 = 5
So the answer is:
5
21
Step 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Nope! So now we try the next greatest prime number, 3...
Nope! So now we try the next greatest prime number, 5...
Nope! So now we try the next greatest prime number, 7...
No good. 7 is larger than 5. So we're done reducing.
There you have it! The final answer is:
4
7
−
1
3
=
5
21
Step-by-step explanation: