d) Simplify: 49+64÷8×3-10

Question

d) Simplify: 49+64÷8×3-10

Asked on March 26, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

Accepted Answer · 2026-03-26T14:01:32.818Z

Here are the solutions to the problems: Problem 1: Subtract: $12\frac{4}{7} - 9\frac{1}{7}$ Step 1: Subtract the whole number parts. $$12 - 9 = 3$$ Step 2: Subtract the fractional parts. Since the denominators are the same, subtract the numerators. $$\frac{4}{7} - \frac{1}{7} = \frac{4-1}{7} = \frac{3}{7}$$ Step 3: Combine the whole number and fractional parts to form the mixed number. $$3 + \frac{3}{7} = 3\frac{3}{7}$$ The result is $\boxed{3\frac{3}{7}}$. Problem 2: Simplify: $49 + 64 \div 8 \times 3 - 10$ Step 1: Perform division first, as it appears before multiplication from left to right. $$49 + (64 \div 8) \times 3 - 10$$ $$49 + 8 \times 3 - 10$$ Step 2: Perform multiplication. $$49 + (8 \times 3) - 10$$ $$49 + 24 - 10$$ Step 3: Perform addition from left to right. $$(49 + 24) - 10$$ $$73 - 10$$ Step 4: Perform subtraction. $$63$$ The simplified value is $\boxed{63}$.

Accepted Answer · 2026-03-26T14:01:32.818Z

Here are the solutions to the problems: Problem 1: Subtract: $12\frac{4}{7} - 9\frac{1}{7}$ Step 1: Subtract the whole number parts. $$12 - 9 = 3$$ Step 2: Subtract the fractional parts. Since the denominators are the same, subtract the numerators. $$\frac{4}{7} - \frac{1}{7} = \frac{4-1}{7} = \frac{3}{7}$$ Step 3: Combine the whole number and fractional parts to form the mixed number. $$3 + \frac{3}{7} = 3\frac{3}{7}$$ The result is $\boxed{3\frac{3}{7}}$. Problem 2: Simplify: $49 + 64 \div 8 \times 3 - 10$ Step 1: Perform division first, as it appears before multiplication from left to right. $$49 + (64 \div 8) \times 3 - 10$$ $$49 + 8 \times 3 - 10$$ Step 2: Perform multiplication. $$49 + (8 \times 3) - 10$$ $$49 + 24 - 10$$ Step 3: Perform addition from left to right. $$(49 + 24) - 10$$ $$73 - 10$$ Step 4: Perform subtraction. $$63$$ The simplified value is $\boxed{63}$.