Question

am i ready?
for exercises 1-12, solve each equation.

1. \\(\frac{7}{8} + \frac{2}{3} = d\\)
2. \\(\frac{9}{10} - \frac{5}{6} = x\\)
3. \\(\frac{3}{4} \times \frac{2}{5} = s\\)
4. \\(2 \div \frac{1}{4} = n\\)
5. \\(\frac{1}{5} \div 7 = p\\)
6. \\(3,456 + 12,079 = t\\)
7. \\(11,005 - 8,586 = f\\)
8. \\(456 \times 78 = r\\)

Explanation:

Solve equations 1 and 2

For equation 1, find a common denominator of 24:

$$ d = \frac{7}{8} + \frac{2}{3} = \frac{21}{24} + \frac{16}{24} = \frac{37}{24} = 1\frac{13}{24} $$

For equation 2, find a common denominator of 30:

$$ x = \frac{9}{10} - \frac{5}{6} = \frac{27}{30} - \frac{25}{30} = \frac{2}{30} = \frac{1}{15} $$

Solve equations 3 and 4

For equation 3, multiply the numerators and denominators:

$$ s = \frac{3}{4} \times \frac{2}{5} = \frac{6}{20} = \frac{3}{10} $$

For equation 4, multiply by the reciprocal:

$$ n = 2 \div \frac{1}{4} = 2 \times 4 = 8 $$

Solve equations 5 and 6

For equation 5, multiply by the reciprocal:

$$ p = \frac{1}{5} \div 7 = \frac{1}{5} \times \frac{1}{7} = \frac{1}{35} $$

For equation 6, add the whole numbers:

$$ t = 3,456 + 12,079 = 15,535 $$

Solve equations 7 and 8

For equation 7, subtract the decimals:

$$ f = 11.005 - 8.586 = 2.419 $$

For equation 8, multiply the integers:

$$ r = 456 \times 78 = 35,568 $$

Answer:

No.	Problem	Answer
2	\(\frac{9}{10} - \frac{5}{6} = x\)	\(x = \frac{1}{15}\)
3	\(\frac{3}{4} \times \frac{2}{5} = s\)	\(s = \frac{3}{10}\)
4	\(2 \div \frac{1}{4} = n\)	\(n = 8\)
5	\(\frac{1}{5} \div 7 = p\)	\(p = \frac{1}{35}\)
6	\(3,456 + 12,079 = t\)	\(t = 15,535\)
7	\(11.005 - 8.586 = f\)	\(f = 2.419\)
8	\(456 \times 78 = r\)	\(r = 35,568\)