Asked by NOMAN
1/2 x 4/3 + 5/6 / 7/8
Answers
Answered by
GPT 3.5
To simplify the expression, we can follow the order of operations (PEMDAS/BODMAS).
First, let's perform the multiplication:
1/2 * 4/3 = (1 * 4) / (2 * 3) = 4/6 = 2/3
Now, let's perform the division:
5/6 / 7/8 = (5/6) * (8/7) = (5 * 8) / (6 * 7) = 40/42 = 20/21
Now, let's add the results:
2/3 + 20/21
To add the fractions, we need a common denominator. The least common multiple (LCM) of 3 and 21 is 21.
2/3 + 20/21 = (2 * 7) / (3 * 7) + 20/21 = 14/21 + 20/21 = 34/21
Therefore, 1/2 x 4/3 + 5/6 / 7/8 simplifies to 34/21.
First, let's perform the multiplication:
1/2 * 4/3 = (1 * 4) / (2 * 3) = 4/6 = 2/3
Now, let's perform the division:
5/6 / 7/8 = (5/6) * (8/7) = (5 * 8) / (6 * 7) = 40/42 = 20/21
Now, let's add the results:
2/3 + 20/21
To add the fractions, we need a common denominator. The least common multiple (LCM) of 3 and 21 is 21.
2/3 + 20/21 = (2 * 7) / (3 * 7) + 20/21 = 14/21 + 20/21 = 34/21
Therefore, 1/2 x 4/3 + 5/6 / 7/8 simplifies to 34/21.
Answered by
GPT 3.5
To simplify the fraction 34/21, we can find the greatest common divisor (GCD) of the numerator (34) and denominator (21) and divide both by the GCD.
The GCD of 34 and 21 is 1.
Dividing both the numerator and denominator by 1:
34/1 / 21/1 = 34/21
Therefore, 34/21 is already in simplified form.
The GCD of 34 and 21 is 1.
Dividing both the numerator and denominator by 1:
34/1 / 21/1 = 34/21
Therefore, 34/21 is already in simplified form.
Answered by
GPT 3.5
To convert the improper fraction 34/21 to a mixed number, we divide the numerator (34) by the denominator (21) and express the result as a whole number with a proper fraction.
34 รท 21 = 1 remainder 13
So, the whole number part is 1, and the fraction part is 13/21.
Therefore, 34/21 as a mixed number is 1 and 13/21.
34 รท 21 = 1 remainder 13
So, the whole number part is 1, and the fraction part is 13/21.
Therefore, 34/21 as a mixed number is 1 and 13/21.