Solve. Write your answer in simplest form.
-Ellen is knitting a scarf with one 10 -inch blue stripe, one $4 \frac { 1 } { 4 }$-inch green stripe, and one $2 \frac { 1 } { 2 }$ -inch white stripe. How wide is the scarf?
A) $ \frac{10}{47} $ inch
B) $ 16 \frac{3}{4} $ inches
C) $ 4 \frac{7}{10} $ inches
D) $ \frac{4}{67} $ inch

Question

Solve. Write your answer in simplest form.
-Ellen is knitting a scarf with one 10 -inch blue stripe,  one  $4 \frac { 1 } { 4 }$-inch green stripe, and one  $2 \frac { 1 } { 2 }$ -inch white stripe. How wide is the scarf?
A) $ \frac{10}{47} $ inch
B) $ 16 \frac{3}{4} $ inches
C) $ 4 \frac{7}{10} $ inches
D) $ \frac{4}{67} $ inch

Quizplus · Accepted Answer

To find the total width of the scarf, we need to add the width of each stripe.

Width of blue stripe = 10 inches 
Width of green stripe = $ \frac{17}{4} $ inches (To change the mixed number to an improper fraction, we multiply the whole number by the denominator and add the numerator. $ 4 \times 1 + 1 = 5 $. So, $ \frac{17}{4} = \frac{4 \times 4 + 1}{4} = \frac{16}{4} + \frac{1}{4} = 4 + \frac{1}{4} $) 
Width of white stripe = $ \frac{5}{2} $ inches

Total width = 10 inches + $ \frac{17}{4} $ inches + $ \frac{5}{2} $ inches

We need to get a common denominator to add the fractions. The least common multiple of 4 and 2 is 4, so we rewrite the fractions with a denominator of 4.

Total width = 10 inches + $ \frac{17}{4} $ inches + $ \frac{10}{4} $ inches 
Total width = 10 inches + $ \frac{27}{4} $ inches

To add mixed numbers, we first add the whole numbers, then add the fractions.

Total width = 16 inches + $ \frac{3}{4} $ inches

Therefore, the width of the scarf is $ 16 \frac{3}{4} $ inches.

Solve Write Your Answer in Simplest Form 4144 \frac { 1 } { 4 }441​

Solve Write Your Answer in Simplest Form $4 \frac { 1 } { 4 }$