Tia ran 2 and 7/8 miles. George ran 1 and 1/10 miles.About how many more miles did tia run than George? Place a star on the number line to show your estimate
2 7/8 = 2 35/40
1 1/10 = 1 4/40
2 35/40 - 1 4/40 = 1 31/40
2 7/8
To find out how many more miles Tia ran than George, we need to subtract the distance George ran from the distance Tia ran.
First, let's convert the mixed numbers into improper fractions:
Tia = 2 + 7/8 = (2 * 8 + 7) / 8 = 23/8 miles
George = 1 + 1/10 = (1 * 10 + 1) / 10 = 11/10 miles
Now, let's subtract the distance George ran from the distance Tia ran:
23/8 - 11/10
To find a common denominator, we multiply the denominators: 8 * 10 = 80
Converting the fractions to have a common denominator:
(23/8) * (10/10) - (11/10) * (8/8)
= (230/80) - (88/80)
Now, subtract the fractions:
(230 - 88) / 80
= 142/80
Simplifying the fraction if possible:
142/80 = 71/40
To estimate the difference, we can use a number line. Let's represent the fractions 71/40 and 0 on a number line:
0---------------------------------------------1----2----3----4
Since 1 mile is halfway between 0 and 2, we can place an estimate of 1 mile on the number line.
0-------------------------------------------*-----2----3----4
Therefore, Tia ran approximately 1 more mile than George.
To find out how many more miles Tia ran than George, we need to subtract the distance George ran from the distance Tia ran.
First, let's convert the mixed fractions to improper fractions for easier calculations.
Tia: 2 and 7/8 miles = (2 * 8 + 7)/8 = 23/8 miles
George: 1 and 1/10 miles = (1 * 10 + 1)/10 = 11/10 miles
Now, subtract the distance George ran from the distance Tia ran:
Tia's distance - George's distance = 23/8 - 11/10
To subtract fractions, we need a common denominator. The least common multiple (LCM) of 8 and 10 is 40.
(23/8 * 5/5) - (11/10 * 4/4) = 115/40 - 44/40 = 71/40
So, Tia ran 71/40 more miles than George.
To estimate the answer, let's round the fractions to the nearest whole numbers.
71/40 ≈ 2
Now, let's place a star (*) on the number line to show the estimate.
--0---1---2---3---4---5--
*
Therefore, Tia ran about 2 more miles than George.