Tool/Solver to solve fill in the blanks operations. A fill in the blank calculation is a mathematical exercise those goal is to find missing elements (numbers or operations) so that the equation is correct.
Fill The Blanks Equation Solver - dCode
Tag(s) : Arithmetics, Number Games
dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!
A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!
Fill The Blanks Equation Solver
Fill in the Blanks Calculator
Solve an Equation (Find x)
Fill in the Blanks Number Sequence
Fill in the Blanks Generator
Answers to Questions (FAQ)
What is a fill in the blanks equation puzzle? (Definition)
A fill in the blank puzzle is a math exercise similar to solving equations. The player (student) must use his mathematical knowledge to find the missing elements (replaced by blanks/spaces) in the proposed math calculation so that it becomes correct.
— Fill in the blanks with missing digits
Example: Find the missing numbers in the addition 78? + 4? 6 + 123 = ?321 has for solution 782 + 416 + 123 = 1321
Sometimes there is more than one possible solution in operations with blanks.
Example: Find the missing numbers in the subtraction 45 - ?2 = ?3 has 5 solutions including: 45 - 12 = 33 or 45 - 32 = 13
The solver looks for digits, indicate a question mark for each digit, if the number of digits is not known, dCode has an equation solver.
Example: 12 + ? = 34 has no solution but 12 + ?? = 34 has one 12 + 22 = 34
— Fill in the blanks with missing operators
The principle is the same, except that the question marks must be replaced by one of the 4 mathematical operators (+, -, *, /)
Example: 1 ? 2 ? 3 = 0 has several solutions including 1 + 2 - 3 = 0
If the order of the numbers can be changed, dCode has a countdown numbers solver.
How to solve a calculation with blanks?
Manual resolution involves identifying the most likely replacement elements. A first approach is to list all the possibilities of each blank, then if the value can not be determined, make attempts until finding the answer. Here are some techniques:
Fill in the blanks with missing digits
Look at the unit numbers, how to add / subtract / multiply them and list the possibilities.
Identify remarkable values: a multiplication by 2 gives an even number, a multiplication by 5 gives a number ending by 0 or 5, and so on.
Identify impossible values: divisions by 0 or non-integers, and so on.
Fill in the blanks with missing operators
Filter operations: division is rare, multiplication introduces large numbers, etc.
Look at the numbers of the units, how to add / subtract / multiply them and list the possibilities.
dCode uses computer techniques that allow you to quickly attempt all combinations.
Why do calculation with blanks?
Fill in the blanks calculations are a great way to practice basic math. They can also help students develop their logical thinking and problem-solving skills. Plus, fill in the blanks can be a fun and challenging way to learn math.
The exercises can be applied as you learn the operations:
Example: Addition with a gap: 5 + _ = 12 (Solution: 7).
Example: Subtraction with a gap: _ - 4 = 5 (Solution: 9).
Example: Multiplication with a gap: _ × 3 = 18 (Solution: 6).
Example: Division with a gap: 24 ÷ _ = 8 (Solution: 3).
Source code
dCode retains ownership of the "Fill The Blanks Equation Solver" source code. Any algorithm for the "Fill The Blanks Equation Solver" algorithm, applet or snippet or script (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, breaker, translator), or any "Fill The Blanks Equation Solver" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) or any database download or API access for "Fill The Blanks Equation Solver" or any other element are not public (except explicit open source licence like Creative Commons). Same with the download for offline use on PC, mobile, tablet, iPhone or Android app.
Reminder: dCode is an educational and teaching resource, accessible online for free and for everyone.
Cite dCode
The content of the page "Fill The Blanks Equation Solver" and its results may be freely copied and reused, including for commercial purposes, provided that dCode.fr is cited as the source.
Exporting the results is free and can be done simply by clicking on the export icons ⤓ (.csv or .txt format) or ⧉ (copy and paste).
To cite dCode.fr on another website, use the link:
In a scientific article or book, the recommended bibliographic citation is: Fill The Blanks Equation Solver on dCode.fr [online website], retrieved on 2025-04-24,
