To solve this expression, we will follow the order of operations (parentheses first, then exponents, then multiplication and division from left to right, and finally addition and subtraction):
5 × 1/16 - 1/8 × 5/6 + 3/14 = 5 × 1/16 - 1/8 × 5/6 + 3/14 = 5/16 - 1/8 × 5/6 + 3/14 = 5/16 - 5/48 + 3/14 To add/subtract fractions, we first need to find a common denominator:
The least common multiple of 16, 48, and 14 is 112.
Now, we will rewrite each fraction with the common denominator of 112:
To solve this expression, we will follow the order of operations (parentheses first, then exponents, then multiplication and division from left to right, and finally addition and subtraction):
5 × 1/16 - 1/8 × 5/6 + 3/14
= 5 × 1/16 - 1/8 × 5/6 + 3/14
= 5/16 - 1/8 × 5/6 + 3/14
= 5/16 - 5/48 + 3/14
To add/subtract fractions, we first need to find a common denominator:
The least common multiple of 16, 48, and 14 is 112.
Now, we will rewrite each fraction with the common denominator of 112:
= 35/112 - 15/112 + 24/112
Now we can add and subtract the fractions:
= (35 - 15 + 24) / 112
= 44 / 112
= 11 / 28
Therefore, the expression simplifies to 11/28.