1.) 15 * 4 2/3
2.) 10 2/3 divided by 4
1) 15 x 14/3 = 5 x 14 = ___
2. (1/4) x (32/3) = 8/3
4 2/3 = 12 / 3 + 2 / 3 = 14 / 3
15 * 4 2/3 = 15 * 14 / 3 = 210 / 3 = 70
10 2/3 = 30 / 3 + 2 / 3 = 32 / 3
( 32 / 3 ) / 4 = 32 / ( 3 * 4 ) = ( 8 * 4 ) / ( 3 * 4 ) = 8 / 3 = ( 6 + 2 ) / 3 = 2 2 /3
To solve these math problems, we will use the rules of multiplication and division.
1) 15 * 4 2/3:
To multiply a whole number by a mixed number, we can convert the mixed number into an improper fraction.
Step 1: Convert the mixed number 4 2/3 into an improper fraction. To do this, multiply the whole number (4) by the denominator (3) and add the numerator (2). This gives us (4 * 3) + 2 = 14. So, 4 2/3 is equal to 14/3 as an improper fraction.
Step 2: Multiply 15 by 14/3:
15 * (14/3) = (15 * 14) / 3 = 210/3
Step 3: Simplify the fraction. We can divide both the numerator and denominator of 210/3 by their greatest common factor, which is 3.
Dividing 210 by 3 gives us 70, and dividing 3 by 3 gives us 1. So, 210/3 simplifies to 70/1, which is simply 70.
Therefore, the answer to 15 * 4 2/3 is 70.
2) 10 2/3 divided by 4:
To divide a mixed number by a whole number, we can convert the mixed number into an improper fraction, and then perform the division.
Step 1: Convert the mixed number 10 2/3 into an improper fraction. Multiply the whole number (10) by the denominator (3) and add the numerator (2). This gives us (10 * 3) + 2 = 32. So, 10 2/3 is equal to 32/3 as an improper fraction.
Step 2: Divide 32/3 by 4:
(32/3) ÷ 4 = 32/3 * (1/4)
To multiply fractions, we multiply the numerators (top numbers) and denominators (bottom numbers) separately:
(32 * 1) / (3 * 4) = 32/12
Step 3: Simplify the fraction. We can divide both the numerator and denominator of 32/12 by their greatest common factor, which is 4.
Dividing 32 by 4 gives us 8, and dividing 12 by 4 gives us 3. So, 32/12 simplifies to 8/3.
Therefore, the answer to 10 2/3 divided by 4 is 8/3.