Answer:
[tex]\frac{3}{10}+\frac{10}{100}+\frac{2}{100}[/tex]
Step-by-step explanation:
Verify each expression
case 1) we have
[tex]\frac{12}{10}+\frac{30}{100}[/tex]
Multiply the first term by 10/10
[tex]\frac{120}{100}+\frac{30}{100}[/tex]
Remember that
Fractions with the same denominator, you can add the numerators and write the sum over the common denominator
so
[tex]\frac{120}{100}+\frac{30}{100}=\frac{150}{100}[/tex]
therefore
[tex]\frac{150}{100} \neq \frac{42}{100}[/tex]
case 2) we have
[tex]\frac{40}{100}+\frac{2}{10}[/tex]
Multiply the second term by 10/10
[tex]\frac{40}{100}+\frac{20}{100}[/tex]
Remember that
Fractions with the same denominator, you can add the numerators and write the sum over the common denominator
so
[tex]\frac{40}{100}+\frac{20}{100}=\frac{60}{100}[/tex]
therefore
[tex]\frac{60}{100} \neq \frac{42}{100}[/tex]
case 3) we have
[tex]\frac{7}{100}+\frac{5}{10}+\frac{30}{100}[/tex]
Multiply the second term by 10/10
[tex]\frac{7}{100}+\frac{50}{100}+\frac{30}{100}[/tex]
Remember that
Fractions with the same denominator, you can add the numerators and write the sum over the common denominator
so
[tex]\frac{7}{100}+\frac{50}{100}+\frac{30}{100}=\frac{87}{100}[/tex]
therefore
[tex]\frac{87}{100} \neq \frac{42}{100}[/tex]
case 4) we have
[tex]\frac{3}{10}+\frac{10}{100}+\frac{2}{100}[/tex]
Multiply the first term by 10/10
[tex]\frac{30}{100}+\frac{10}{100}+\frac{2}{100}[/tex]
Remember that
Fractions with the same denominator, you can add the numerators and write the sum over the common denominator
so
[tex]\frac{30}{100}+\frac{10}{100}+\frac{2}{100}=\frac{42}{100}[/tex]
so
[tex]\frac{42}{100}=\frac{42}{100}[/tex]
This expression is the answer
