To compare the widths of the stamps, we need to find a common denominator for all the fractions:
1 5/8 = 13/8
1 11/16 = 17/16
1 3/4 = 7/4
1 1/2 = 3/2
Now, we can compare the fractions to find the largest one:
13/8 = 1.625
17/16 = 1.0625
7/4 = 1.75
3/2 = 1.5
The largest stamp has a width of 1.75 inches.
Monique measured the widths of several stamps in her collection of world stamps. The measurements are 1 5/8in., 1 11/16in., 1 3/4in., and 1 1/2in. What is the width of the widest stamp?
in.
9 answers
how did you change the numbers?
To change the mixed numbers into fractions, you need to multiply the whole number by the denominator and then add the numerator. For example:
1 5/8 = (1 * 8) + 5 = 13/8
Similarly,
1 11/16 = (1 * 16) + 11 = 27/16
1 3/4 = (1 * 4) + 3 = 7/4
1 1/2 = (1 * 2) + 1 = 3/2
By converting the mixed numbers into fractions, we can compare them more easily and determine the largest width.
1 5/8 = (1 * 8) + 5 = 13/8
Similarly,
1 11/16 = (1 * 16) + 11 = 27/16
1 3/4 = (1 * 4) + 3 = 7/4
1 1/2 = (1 * 2) + 1 = 3/2
By converting the mixed numbers into fractions, we can compare them more easily and determine the largest width.
turn 1 11/16 into fraction
To turn 1 11/16 into a fraction, you multiply the whole number (1) by the denominator (16), then add the numerator (11). So:
1 * 16 + 11 = 16 + 11 = 27
The fraction is 27/16.
1 * 16 + 11 = 16 + 11 = 27
The fraction is 27/16.
Convert 0.72¯¯¯¯¯ to a rational number in simplest form
To convert the repeating decimal 0.72¯¯¯¯¯ to a rational number in simplest form, we can use the following steps:
Step 1: Let 'x' represent the repeating decimal.
x = 0.72¯¯¯¯¯
Step 2: Multiply both sides of the equation by 100 (because there are two repeating digits) to eliminate the repeating part.
100x = 72.72¯¯¯¯¯
Step 3: Subtract the original equation from the equation obtained in step 2 to eliminate the repeating part on the right-hand side.
100x - x = 72.72¯¯¯¯¯ - 0.72¯¯¯¯¯
Simplifying the equation, we have:
99x = 72
Step 4: Now, divide both sides of the equation by 99 to solve for 'x'.
x = 72/99
Step 5: Simplify the fraction 72/99. Both the numerator and the denominator share a common factor of 9.
Dividing the numerator and the denominator by 9, we get:
x = 8/11
Therefore, 0.72¯¯¯¯¯ as a rational number in simplest form is 8/11.
Step 1: Let 'x' represent the repeating decimal.
x = 0.72¯¯¯¯¯
Step 2: Multiply both sides of the equation by 100 (because there are two repeating digits) to eliminate the repeating part.
100x = 72.72¯¯¯¯¯
Step 3: Subtract the original equation from the equation obtained in step 2 to eliminate the repeating part on the right-hand side.
100x - x = 72.72¯¯¯¯¯ - 0.72¯¯¯¯¯
Simplifying the equation, we have:
99x = 72
Step 4: Now, divide both sides of the equation by 99 to solve for 'x'.
x = 72/99
Step 5: Simplify the fraction 72/99. Both the numerator and the denominator share a common factor of 9.
Dividing the numerator and the denominator by 9, we get:
x = 8/11
Therefore, 0.72¯¯¯¯¯ as a rational number in simplest form is 8/11.
how did u get 99
My apologies for the confusion. To convert 0.72¯¯¯¯¯ to a rational number in simplest form, we can use the following steps:
Step 1: Let 'x' represent the repeating decimal.
x = 0.72¯¯¯¯¯
Step 2: Multiply both sides of the equation by 100 (because there are two repeating digits) to eliminate the repeating part.
100x = 72.72¯¯¯¯¯
Step 3: Subtract the original equation from the equation obtained in step 2 to eliminate the repeating part on the right-hand side.
100x - x = 72.72¯¯¯¯¯ - 0.72¯¯¯¯¯
Simplifying the equation, we have:
99x = 72
Step 4: Now, divide both sides of the equation by 99 to solve for 'x'.
x = 72/99
Step 5: Simplify the fraction 72/99. Both the numerator and the denominator share a common factor of 9.
Dividing the numerator and the denominator by 9, we get:
x = 8/11
Therefore, 0.72¯¯¯¯¯ as a rational number in simplest form is 8/11.
Step 1: Let 'x' represent the repeating decimal.
x = 0.72¯¯¯¯¯
Step 2: Multiply both sides of the equation by 100 (because there are two repeating digits) to eliminate the repeating part.
100x = 72.72¯¯¯¯¯
Step 3: Subtract the original equation from the equation obtained in step 2 to eliminate the repeating part on the right-hand side.
100x - x = 72.72¯¯¯¯¯ - 0.72¯¯¯¯¯
Simplifying the equation, we have:
99x = 72
Step 4: Now, divide both sides of the equation by 99 to solve for 'x'.
x = 72/99
Step 5: Simplify the fraction 72/99. Both the numerator and the denominator share a common factor of 9.
Dividing the numerator and the denominator by 9, we get:
x = 8/11
Therefore, 0.72¯¯¯¯¯ as a rational number in simplest form is 8/11.