Math help???
1.) 13 1/3 divided by 6 2/9
2.) 15 * 4 2/3
3.) 10 2/3 divided by 4
1. multiplication is the inverse operation of division. a/b divided by c/d= a/b*d/c=ad/bc
13 1/3 / 6 2/9
40/3 / 56/9 = 40/3 * 9/56=40*3/56
= 120/56=60/23=2 14/23 check that.
oops 2 14/28= 2 1/2
What about #2?
Sure! I can help you with these math problems. Let's go step by step.
1.) To divide 13 1/3 by 6 2/9, we first need to convert both mixed numbers into improper fractions.
To convert 13 1/3 into an improper fraction, we multiply the whole number (13) by the denominator (3), and then add the numerator (1). The result is 40/3.
To convert 6 2/9 into an improper fraction, we multiply the whole number (6) by the denominator (9), and then add the numerator (2). The result is 56/9.
Now, we can divide 40/3 by 56/9. To do this, we multiply the first fraction by the reciprocal of the second fraction.
40/3 * 9/56 = (40 * 9) / (3 * 56) = 360 / 168
To simplify this fraction, we find the greatest common divisor (GCD) of the numerator (360) and the denominator (168). Then, we divide both the numerator and denominator by the GCD.
By calculating the GCD, we find that it is 24. Therefore, we simplify the fraction to:
360/168 = (360 ÷ 24) / (168 ÷ 24) = 15/7
So, 13 1/3 divided by 6 2/9 is equal to 15/7.
2.) To multiply 15 and 4 2/3, we can convert 4 2/3 into an improper fraction first.
To convert 4 2/3 into an improper fraction, we multiply the whole number (4) by the denominator (3), and then add the numerator (2). The result is 14/3.
Now, we can multiply 15 by 14/3.
15 * 14/3 = (15 * 14) / 3 = 210/3
To simplify this fraction, we divide both the numerator and denominator by their greatest common divisor (GCD). The GCD of 210 and 3 is 3.
Therefore, 210/3 = (210 ÷ 3) / (3 ÷ 3) = 70/1 = 70.
So, 15 * 4 2/3 is equal to 70.
3.) To divide 10 2/3 by 4, we need to convert the mixed number into an improper fraction.
To convert 10 2/3 into an improper fraction, we multiply the whole number (10) by the denominator (3), and then add the numerator (2). The result is 32/3.
Now, we can divide 32/3 by 4. To do this, we multiply the first fraction by the reciprocal of the second.
32/3 ÷ 4 = 32/3 * 1/4 = (32 * 1) / (3 * 4) = 32/12
To simplify this fraction, we divide both the numerator and denominator by their greatest common divisor (GCD). The GCD of 32 and 12 is 4.
Therefore, 32/12 = (32 ÷ 4) / (12 ÷ 4) = 8/3.
So, 10 2/3 divided by 4 is equal to 8/3.