Clara solved the equation 7 3 x = − 2 3 as shown. 7 3 x ( 3 7 ) = − 2 3 ( 3 7 ) x = −14 What is Clara’s error? Clara should have
2 answers:
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Answer: 2/5
Step-by-step explanation: Using the place value chart, we can see that the decimal 0.4 is four tenths, so we can write 0.4 as the fraction 4/10.
Notice however that 4/10 is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 4 and 10 which is 2.
So if we divide the numerator and the denominator by 2, we get the equivalent fraction 2/5.
Therefore, 0.4 can be written as the fraction 2/5 which is in lowest terms.
