Question

iii. write each fraction as a decimal rounded to the nearest hundredth. then add or subtract. your answer will be a decimal very close to the actual sum or difference of the fractions.
(t) $\frac{1}{7}+\frac{5}{12}$
(s) $\frac{14}{15}+\frac{39}{64}$
(n) $\frac{23}{27}+\frac{3}{16}$
(o) $\frac{12}{17}-\frac{1}{7}$
(c) $\frac{39}{64}-\frac{4}{11}$
(x) $\frac{14}{15}-\frac{3}{16}$
(b) $\frac{5}{12}+\frac{9}{32}$
(p) $\frac{4}{11}-\frac{2}{9}$

Explanation:

1. For the fraction \(\frac{1}{7}+\frac{5}{12}\):

• Step 1: Convert \(\frac{1}{7}\) to a decimal:
• Divide 1 by 7: \(1\div7\approx0.14\) (rounded to the nearest hundred - th).
• Step 2: Convert \(\frac{5}{12}\) to a decimal:
• Divide 5 by 12: \(5\div12\approx0.42\) (rounded to the nearest hundred - th).
• Step 3: Add the decimals:
• \(0.14 + 0.42=0.56\).

1. For the fraction \(\frac{14}{15}+\frac{39}{64}\):

• Step 1: Convert \(\frac{14}{15}\) to a decimal:
• Divide 14 by 15: \(14\div15\approx0.93\) (rounded to the nearest hundred - th).
• Step 2: Convert \(\frac{39}{64}\) to a decimal:
• Divide 39 by 64: \(39\div64 = 0.61\) (rounded to the nearest hundred - th).
• Step 3: Add the decimals:
• \(0.93+0.61 = 1.54\).

1. For the fraction \(\frac{23}{27}+\frac{3}{16}\):

• Step 1: Convert \(\frac{23}{27}\) to a decimal:
• Divide 23 by 27: \(23\div27\approx0.85\) (rounded to the nearest hundred - th).
• Step 2: Convert \(\frac{3}{16}\) to a decimal:
• Divide 3 by 16: \(3\div16 = 0.19\) (rounded to the nearest hundred - th).
• Step 3: Add the decimals:
• \(0.85 + 0.19=1.04\).

1. For the fraction \(\frac{12}{17}-\frac{1}{7}\):

• Step 1: Convert \(\frac{12}{17}\) to a decimal:
• Divide 12 by 17: \(12\div17\approx0.71\) (rounded to the nearest hundred - th).
• Step 2: Convert \(\frac{1}{7}\) to a decimal:
• Divide 1 by 7: \(1\div7\approx0.14\) (rounded to the nearest hundred - th).
• Step 3: Subtract the decimals:
• \(0.71-0.14 = 0.57\).

1. For the fraction \(\frac{39}{64}-\frac{4}{11}\):

• Step 1: Convert \(\frac{39}{64}\) to a decimal:
• Divide 39 by 64: \(39\div64\approx0.61\) (rounded to the nearest hundred - th).
• Step 2: Convert \(\frac{4}{11}\) to a decimal:
• Divide 4 by 11: \(4\div11\approx0.36\) (rounded to the nearest hundred - th).
• Step 3: Subtract the decimals:
• \(0.61 - 0.36=0.25\).

1. For the fraction \(\frac{14}{15}-\frac{3}{16}\):

• Step 1: Convert \(\frac{14}{15}\) to a decimal:
• Divide 14 by 15: \(14\div15\approx0.93\) (rounded to the nearest hundred - th).
• Step 2: Convert \(\frac{3}{16}\) to a decimal:
• Divide 3 by 16: \(3\div16 = 0.19\) (rounded to the nearest hundred - th).
• Step 3: Subtract the decimals:
• \(0.93-0.19 = 0.74\).

1. For the fraction \(\frac{5}{12}+\frac{9}{32}\):

• Step 1: Convert \(\frac{5}{12}\) to a decimal:
• Divide 5 by 12: \(5\div12\approx0.42\) (rounded to the nearest hundred - th).
• Step 2: Convert \(\frac{9}{32}\) to a decimal:
• Divide 9 by 32: \(9\div32 = 0.28\) (rounded to the nearest hundred - th).
• Step 3: Add the decimals:
• \(0.42+0.28 = 0.70\).

1. For the fraction \(\frac{4}{11}-\frac{2}{19}\):

• Step 1: Convert \(\frac{4}{11}\) to a decimal:
• Divide 4 by 11: \(4\div11\approx0.36\) (rounded to the nearest hundred - th).
• Step 2: Convert \(\frac{2}{19}\) to a decimal:
• Divide 2 by 19: \(2\div19\approx0.11\) (rounded to the nearest hundred - th).
• Step 3: Subtract the decimals:
• \(0.36-0.11 = 0.25\).

Answer:

• \(\frac{1}{7}+\frac{5}{12}\approx0.56\)
• \(\frac{14}{15}+\frac{39}{64}\approx1.54\)
• \(\frac{23}{27}+\frac{3}{16}\approx1.04\)
• \(\frac{12}{17}-\frac{1}{7}\approx0.57\)
• \(\frac{39}{64}-\frac{4}{11}\approx0.25\)
• \(\frac{14}{15}-\frac{3}{16}\approx0.74\)
• \(\frac{5}{12}+\frac{9}{32}\approx0.70\)
• \(\frac{4}{11}-\frac{2}{19}\approx0.25\)