one and one third times two and a half? one and one third times one? one and one third times a half?
Mathematics · Middle School · Tue Nov 03 2020
Answered on
To multiply mix numbers, first convert all of them into improper fraction.
a. 1 ⅓ times 2 ½
b. 1 ⅓ times 1
c. 1 ⅓ times ½
To convert 1 ⅓ to improper fraction, multiply the whole number 1 by the denominator 3 and add the numerator.
> 1 1/3 = 1*3 + 1/ 3
> 4/ 3
To convert 2 ½ to improper fraction, multiply the whole number 2 by the denominator 2 and add the numerator.
> 2 1/2 = 2 *2 + 1 /2
> 5/2
Multiply 4/3 and 5/2
Multiply both numerators and denominators of 4/3 and 5/2
> 4/3 * 5/2
> 4 *5 / 3 *2
> 20/6 or 10/3
Since any value multiplied by 1 will not change, then 1 ⅓ times 1 is 1 ½.
1 ⅓ times ½
Since the improper fraction of 1 ⅓ is 4/3, multiply both numerators and denominators of 4/3 and ½.
> 4/3 * 1/2
> 4*1/ 3*2
> 4/6 or ⅔.