Estimate the value of each expression. Put them in order from least to greatest.
13.5 ÷ 2/5
−26/3 + 16 1/4
34 × 5/3
Estimate the value of each expression. Put them in order from least to greatest. 13.5 ÷ 2/5 −26/3 + 16 1/4 34 × 5/3
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Estimate the value of each expression. Put them in order from least to greatest.
13.5 ÷ 2/5
−26/3 + 16 1/4
34 × 5/3
Let’s calculate each expression step-by-step and then put them in order from least to greatest.
1. For ( 13.5 div frac{2}{5} ):
– Dividing by a fraction is the same as multiplying by its reciprocal:
[
13.5 div frac{2}{5} = 13.5 times frac{5}{2} = frac{13.5 times 5}{2} = frac{67.5}{2} = 33.75
]
2. For ( -frac{26}{3} + 16 frac{1}{4} ):
– First, convert ( 16 frac{1}{4} ) to an improper fraction:
[
16 frac{1}{4} = frac{65}{4}
]
– Now, we need a common denominator to add ( -frac{26}{3} ) and ( frac{65}{4} ). The least common multiple of 3 and 4 is 12.
– Convert both fractions:
[
-frac{26}{3} = -frac{104}{12}, quad frac{65}{4} = frac{195}{12}
]
– Add them together:
[
-frac