Question

adding and subtracting fractions mixed review
why did the boy sheep plunge off a cliff while chasing the girl sheep?
for each exercise, write an estimate of the answer. on the number line under the exercise, find a point near your estimate. write the letter of the exercise on the number line at that point.
n $3\frac{9}{10}+2\frac{13}{16}$
e $1\frac{1}{8}+\frac{11}{13}$
t $2\frac{4}{9}+5\frac{1}{2}$
e $3\frac{11}{12}+7\frac{3}{8}$
d $5\frac{1}{3}-1\frac{2}{7}$
h $12\frac{5}{6}-11\frac{8}{9}$
! $1\frac{3}{4}+3\frac{3}{16}+\frac{1}{9}$
s $3\frac{7}{10}+4\frac{1}{15}+2\frac{2}{13}$
d diane went salmon fishing with her

Explanation:

Step1: Round mixed - numbers

Round each mixed - number to the nearest whole number or a convenient fraction for estimation.

Step2: Perform addition or subtraction

Add or subtract the rounded numbers to get the estimate.

Answer:

We need to estimate the results of each fraction - addition and subtraction problem:

• For \(N:3\frac{9}{10}+2\frac{13}{16}\):
• \(3\frac{9}{10}\approx4\) and \(2\frac{13}{16}\approx3\), so an estimate is \(4 + 3=7\).
• For \(E:1\frac{1}{8}+\frac{11}{13}\):
• \(1\frac{1}{8}\approx1\) and \(\frac{11}{13}\approx1\), so an estimate is \(1 + 1 = 2\).
• For \(T:2\frac{4}{9}+5\frac{1}{2}\):
• \(2\frac{4}{9}\approx2.5\) and \(5\frac{1}{2}=5.5\), so an estimate is \(2.5+5.5 = 8\).
• For \(E:3\frac{11}{12}+7\frac{3}{8}\):
• \(3\frac{11}{12}\approx4\) and \(7\frac{3}{8}\approx7.5\), so an estimate is \(4 + 7.5=11.5\approx12\).
• For \(D:5\frac{1}{3}-1\frac{2}{7}\):
• \(5\frac{1}{3}\approx5\) and \(1\frac{2}{7}\approx1.5\), so an estimate is \(5 - 1.5 = 3.5\approx4\).
• For \(H:12\frac{5}{6}-11\frac{8}{9}\):
• \(12\frac{5}{6}\approx13\) and \(11\frac{8}{9}\approx12\), so an estimate is \(13 - 12 = 1\).
• For \(I:1\frac{3}{4}+3\frac{3}{16}+\frac{1}{9}\):
• \(1\frac{3}{4}\approx2\), \(3\frac{3}{16}\approx3\) and \(\frac{1}{9}\approx0\), so an estimate is \(2+3+0 = 5\).
• For \(S:3\frac{7}{10}+4\frac{1}{15}+2\frac{2}{13}\):
• \(3\frac{7}{10}\approx4\), \(4\frac{1}{15}\approx4\) and \(2\frac{2}{13}\approx2\), so an estimate is \(4 + 4+2=10\).